101 (number)

← 100 101 102 →
← 100 101 102 103 104 105 106 107 108 109 → List of numbers Integers ← 0 100 200 300 400 500 600 700 800 900 →
Cardinal	one hundred one
Ordinal	101st (one hundred first)
Factorization	prime
Prime	26th
Divisors	1, 101
Greek numeral	ΡΑ´
Roman numeral	CI
Binary	11001012
Ternary	102023
Senary	2456
Octal	1458
Duodecimal	8512
Hexadecimal	6516

101 (one hundred [and] one) is the natural number following 100 and preceding 102.
It is variously pronounced "one hundred and one" / "a hundred and one", "one hundred one" / "a hundred one", and "one oh one". As an ordinal number, 101st (one hundred first) rather than 101th is the correct form.

In mathematics

101 is the 26th prime number and a palindromic number (and so a palindromic prime). The next prime is 103, with which it makes a twin prime pair, making 101 a Chen prime. Because the period length of its reciprocal is unique among primes, 101 is a unique prime. 101 is an Eisenstein prime with no imaginary part and real part of the form $3n-1$.

101 is the sum of five consecutive primes (13 + 17 + 19 + 23 + 29). Given 101, the Mertens function returns 0. 101 is the fifth alternating factorial.

101 is a centered decagonal number.

The decimal representation of 2^101-1 is 2 535301 200456 458802 993406 410751. The prime decomposition of that is 7 432339 208719 x 341117 531003 194129

For a 3-digit number in base 10, this number has a relatively simple divisibility test. The candidate number is split into groups of four, starting with the rightmost four, and added up to produce a 4-digit number. If this 4-digit number is of the form 1000a + 100b + 10a + b (where a and b are integers from 0 to 9), such as 3232 or 9797, or of the form 100b + b, such as 707 and 808, then the number is divisible by 101. This might not be as simple as the divisibility tests for numbers like 3 or 5, and it might not be terribly practical, but it is simpler than the divisibility tests for other 3-digit numbers.

On the seven-segment display of a calculator, 101 is both a strobogrammatic prime and a dihedral prime.

101 is the only existing prime with alternating 1s and 0s in base 10 and the largest known prime of the form 10ⁿ + 1.

In science

• In mineralogy, a Miller index of 101 is a crystal face that crosses the horizontal axis (a) and 3d vertical axis (c) but does not cross the 2d vertical axis (b).
• In physics and chemistry, it is the atomic number of mendelevium, an actinide.
• In astronomy it is the Messier designation given to the Pinwheel Galaxy in Ursa Major.

In books

According to Books in Print, more books are now published with a title that begins with '101' than '100'. They usually describe or discuss a list of items, such as 101 Ways to... or 101 Questions and Answers About... . This marketing tool is used to imply that the customer is given a little extra information beyond books that include only 100 items. Some books have taken this marketing scheme even further with titles that begin with '102', '103', or '1001'. The number is used in this context as a slang term when referring to "a 101 document" what is usually referred to as a statistical survey or overview of some topic.

Room 101 is a torture chamber in the novel Nineteen Eighty-Four by George Orwell.

Creative Writing 101 by Raymond Carver, "A writer's values and craft. This was what the man (John Gardner) taught and what he stood for, and this is what I've kept by me in the years since that brief but all important time."

In other fields

Main article: 101 (disambiguation)

• U.S. Route 101
• Taipei 101, the tallest skyscraper in the world from 2004 to 2010.
• 101st kilometre, a condition of release from the Gulag in the Soviet Union.
• 101 (term), The first course in a subject taught at a college or university in Australia, Canada, South Africa, or the United States. By extension, "Topic 101" is used generally to indicate the basics of any subject. Used this way, it is always pronounced "one-oh-one". See Course numbering in North America and 101 (term).
• 101 Ranch Oil Company
• Roi Et Province, a province in Thailand. The name is literally 101 in Thai language.
• An HTTP status code indicating that the server is switching protocols as requested by the client to do so.
• For a new checking account in the US, the number of the first check.
• A term used to define the number of keys on a computer keyboard
• An emergency telephone number in Argentina, Belarus, Belgium, India, and Israel.
• 101 is the Single Non-Emergency Number (SNEN) in some parts of the UK, a telephone number used to call emergency services that are urgent but not emergencies. 101 is now available across all areas of England and Wales DirectGov
• iCar 101 is a roadable aircraft design concept.
• 101 Dalmatians
• The Zastava 101 is a compact car by the former Yugoslav automaker.
• Highways numbered 101, the longest and most well-known of which is U.S. Route 101.
• Rihanna - Rockstar 101
• Vault 101 is the starting area of Fallout 3
• Lebanese Red Cross EMS Center at Spears is coded 101
• In gematria, a system of assigning numerical value to a word or phrase, 101 is the numerical value of the name מִיכָאֵל (Michael in English)
• 101 is the identifying number of several infantry units in various militaries across the world, such as the American and Israeli paratrooper brigades
• 101 was the tail number of a Polish Air Force Tu-154, which crashed on 10 April 2010 whilst on its final approach to Smolensk North Airport killing all aboard including president Lech Kaczyński and his wife. See 2010 Polish Air Force Tu-154 crash.
• "l'ordre des Piliers du 101" is an important student association in Belgium since 1977.

See also

• 101 (term)

References

• Wells, D. The Penguin Dictionary of Curious and Interesting Numbers London: Penguin Group. (1987): page 133. ISBN 978-0-14-008029-2