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102201012211012 = 2211132372710685551
BaseRepresentation
bin10111001111001110000111…
…000001110100110101000100
3111101212022200021002201012221
4113033032013001310311010
5101343430133111223022
61001210255153022124
730345531233223661
oct2717160701646504
9441768607081187
10102201012211012
112a62322a022290
12b5672a8254944
13450468b6206c0
141b347abd8ca68
15bc3739a15cc7
hex5cf387074d44

102201012211012 has 96 divisors (see below), whose sum is σ = 219556806303744. Its totient is φ = 40960705104000.

The previous prime is 102201012211009. The next prime is 102201012211021. The reversal of 102201012211012 is 210112210102201.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4221637 + ... + 14907187.

It is an arithmetic number, because the mean of its divisors is an integer number (2287050065664).

Almost surely, 2102201012211012 is an apocalyptic number.

It is an amenable number.

102201012211012 is an abundant number, since it is smaller than the sum of its proper divisors (117355794092732).

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

102201012211012 is a wasteful number, since it uses less digits than its factorization.

102201012211012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10686329 (or 10686327 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 102201012211012 its reverse (210112210102201), we get a palindrome (312313222313213).

The spelling of 102201012211012 in words is "one hundred two trillion, two hundred one billion, twelve million, two hundred eleven thousand, twelve".

Divisors: 1 2 4 11 13 22 23 26 44 46 52 92 143 253 286 299 506 572 598 727 1012 1196 1454 2908 3289 6578 7997 9451 13156 15994 16721 18902 31988 33442 37804 66884 103961 183931 207922 217373 367862 415844 434746 735724 869492 2391103 4782206 9564412 10685551 21371102 42742204 117541061 138912163 235082122 245767673 277824326 470164244 491535346 555648652 983070692 1528033793 2703444403 3056067586 3194979749 5406888806 6112135172 6389959498 7768395577 10813777612 12779918996 15536791154 31073582308 35144777239 70289554478 85452351347 100989142501 140579108956 170904702694 178673098271 201978285002 341809405388 357346196542 403956570004 714692393084 1110880567511 1965404080981 2221761135022 2322750277523 3930808161962 4443522270044 4645500555046 7861616323924 9291001110092 25550253052753 51100506105506 102201012211012