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101 is the natural number following 100 and preceding 102.
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| Cardinal | one hundred [and] one | ||
| Ordinal | 101st (one hundred [and] first) | ||
| Factorization | prime | ||
| Roman numeral | CI | ||
| Binary | 1100101 | ||
| Hexadecimal | 65 | ||
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. Because the period length of its reciprocal is unique among primes, 101 is a unique primeIn mathematics, a unique prime is a certain kind of prime number. A prime p ≠ 2, 5 is called unique iff there is no other prime q such that the period length of the decimal expansion of its reciprocal, 1 / p is equivalent to the period length of the re.
101 is the sum of five consecutive primes ( 1313 Thirteen is the natural number following 12 and preceding 14. In mathematics Thirteen is the 6th smallest prime number, the next is seventeen. 13 is a Wilson prime. 13 is the fifth Mersenne prime exponent, yielding 8191. 13 is also the third lucky prim + 1717 seventeen is the natural number following 16 and preceding 18. In mathematics Seventeen is the 7th smallest prime number, and is a Fermat prime. The next prime is nineteen, with which it comprises a twin prime. 17 is the sum of the first four primes. + 1919 nineteen is the natural number following 18 and preceding 20. In mathematics Nineteen is the 8th smallest prime number. The sequence continues 23, 29, 31, 37. 19 is the seventh Mersenne prime exponent. It is also a Keith number, because it recurs in a + 232 3 23 twenty-three is the natural number following 22 and preceding 24. Cardinal twenty-three Ordinaltwenty-third Factorization prime Roman numeralXXIII Binary10111 Hexadecimal17 In mathematics Twenty-three is the ninth prime number, the sequence continu + 292 9 29 twenty-nine is the natural number following 28 and preceding 30. Cardinal twenty-nine Ordinaltwenty-ninth Factorization prime Roman numeralXXIX Binary11101 Hexadecimal1D In mathematics It is the tenth prime number, and also a primorial prime, the n). Given 101, the Mertens functionIn number theory, the Mertens function is : where μ(k) is the Mobius function. Because the Mobius function has only the return values -1, 0 and +1, it's obvious that the Mertens function moves slowly and that there is no x such that M ''x > x''. The Me returns 0Zero redirects here. For other meanings of that word, see also Zero (disambiguation). Zero or Nought (0) is a number that precedes the positive one, and all positive numbers, and follows negative one, and all negative numbers. Zero is a number introduced.
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.