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101 (number)

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101 (one hundred [and] one) is the natural number following 100 and preceding 102. In British English it is always "one hundred and one", in American English it is pronounced "one hundred one", or "one oh one" in both.

Cardinal 101
one hundred [and] one
Ordinal 101st
one hundred [and] first
Factorization prime
Roman numeral CI
Binary 1100101
Hexadecimal 65
Look up one hundred and one, one hundred one in Wiktionary, the free dictionary.

Contents

In mathematics

101 is the 26th prime number and a palindromic number (therefore also a palindromic prime). The next prime is 103, with which it comprises a twin prime (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 Failed to parse (Missing texvc executable; please see math/README to configure.): 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.

For a 3-digit number in base 10, this number has a relatively simple divisibility test. The 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 and 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 astronomy

In other fields

101 is also:

In books

In film

In music

In television

In sports


See also


References

  • Wells, D. The Penguin Dictionary of Curious and Interesting Numbers London: Penguin Group. (1987): page 133ca:Cent un

cv:101 (хисеп) co:101 (numeru) es:Ciento uno fr:101 (nombre) ko:101 it:101 (numero) ht:101 (nonm) hu:101 (szám) ms:101 (nombor) nl:101 (getal) ja:101 no:101 (tall) pl:101 (liczba) pt:Cento e um ru:101 (число) sl:101 (število) sv:101 (tal) th:101 vi:101 (số) wuu:101 zh-yue:101

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