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101100110100102 = 23317232208186841
BaseRepresentation
bin10110111111001100110100…
…001001100011011010000110
3111020222002001111112221222000
4112333030310021203122012
5101222411011141200402
6555004425512050130
730203145655536321
oct2677146411433206
9436862044487860
10101100110100102
112a239352527a93
12b409a66393946
13445491298ccb9
141ad73b2b797b8
15ba4ca4c6cc1c
hex5bf334263686

101100110100102 has 96 divisors (see below), whose sum is σ = 248675019032160. Its totient is φ = 30338651819520.

The previous prime is 101100110100097. The next prime is 101100110100109. The reversal of 101100110100102 is 201001011001101.

101100110100102 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101100110100109) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 103607799 + ... + 104579042.

It is an arithmetic number, because the mean of its divisors is an integer number (2590364781585).

Almost surely, 2101100110100102 is an apocalyptic number.

101100110100102 is an abundant number, since it is smaller than the sum of its proper divisors (147574908932058).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101100110100102 is a wasteful number, since it uses less digits than its factorization.

101100110100102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208186915 (or 208186886 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 101100110100102 its reverse (201001011001101), we get a palindrome (302101121101203).

Subtracting 101100110100102 from its reverse (201001011001101), we obtain a palindrome (99900900900999).

The spelling of 101100110100102 in words is "one hundred one trillion, one hundred billion, one hundred ten million, one hundred thousand, one hundred two".

Divisors: 1 2 3 6 9 17 18 23 27 34 46 51 54 69 102 138 153 207 306 391 414 459 529 621 782 918 1058 1173 1242 1587 2346 3174 3519 4761 7038 8993 9522 10557 14283 17986 21114 26979 28566 53958 80937 161874 242811 485622 208186841 416373682 624560523 1249121046 1873681569 3539176297 3747363138 4788297343 5621044707 7078352594 9576594686 10617528891 11242089414 14364892029 21235057782 28729784058 31852586673 43094676087 63705173346 81401054831 86189352174 95557760019 110130838889 129284028261 162802109662 191115520038 220261677778 244203164493 258568056522 330392516667 488406328986 660785033334 732609493479 991177550001 1465218986958 1872224261113 1982355100002 2197828480437 2973532650003 3744448522226 4395656960874 5616672783339 5947065300006 11233345566678 16850018350017 33700036700034 50550055050051 101100110100102