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101 (number)

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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".

← 100 101 102 →
Cardinalone hundred [and] one
Ordinalst
Numeral system101
Factorizationprime
Prime26th
Divisors1, 101
Greek numeralΡΑ´
Roman numeralCI
Binary11001012
Ternary102023
Senary2456
Octal1458
Duodecimal8512
Hexadecimal6516

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 .

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.

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.

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, the atomic number of mendelevium, an actinide.

In transportation

Buildings

In radio

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 in George Orwell's novel Nineteen Eighty-Four.
  • The 101 Ranch written by Ellsworth Collings in collaboration with Alma Miller England, narrates the history of the Miller Brothers 101 Ranch
  • The Hundred and One Dalmatians, or "The Great Dog Robbery" is a 1956 children's novel by Dodie Smith
  • 101 Philosophy Problems and 101 Ethical Dilemmas, both by Martin Cohen, are two introductions to philosophy that playfully adapt the friendly '101' marketing concept for a more serious pedagogical purpose.
  • The Professors: The 101 Most Dangerous Academics in America is a 2006 book by David Horowitz
  • The Secret Agent on Flight 101 is Volume 46 in the original The Hardy Boys book series
  • According to the New Oxford American Dictionary "101" is an adjective, describing a course of education, either imagined or real, in basic knowledge. For example "stuff that you should learn in Anatomy 101"

In film

In music

In television

In sport

Other uses

See also

References

  • Wells, D. The Penguin Dictionary of Curious and Interesting Numbers London: Penguin Group. (1987): page 133. ISBN 978-0140080292
  1. ^ Engber, Daniel (6 September 6, 2006), ""101 101: How did intro classes get their trademark number?", Slate {{citation}}: Check date values in: |date= (help)
  2. ^ 101, Dictionary.com
  3. ^ At universities with four-digit course numbers, the equivalent course number is 1001 or 1010. This use is unheard of in the United Kingdom.[citation needed]
  4. ^ 101-Key "Enhanced" Keyboard Layout, PC Guide, retrieved 2009-05-04
  5. ^ Welcome to 101, Home Office, retrieved 2009-04-05 {{citation}}: Cite has empty unknown parameter: |comment= (help)