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101000122020012 = 223172329311734401
BaseRepresentation
bin10110111101101111101100…
…011001010011000010101100
3111020121111222011100012202110
4112331233230121103002230
5101214241222214120022
6554450452052324020
730163006115064615
oct2675575431230254
9436544864305673
10101000122020012
112a1aaa028a3556
12b3b2600613610
134448369794c77
141ad260953cc0c
15ba23a1ada00c
hex5bdbec6530ac

101000122020012 has 96 divisors (see below), whose sum is σ = 260388069064704. Its totient is φ = 30307571712000.

The previous prime is 101000122019969. The next prime is 101000122020023. The reversal of 101000122020012 is 210020221000101.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a self number, because there is not a number n which added to its sum of digits gives 101000122020012.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 137160012 + ... + 137894412.

It is an arithmetic number, because the mean of its divisors is an integer number (2712375719424).

Almost surely, 2101000122020012 is an apocalyptic number.

101000122020012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101000122020012 is an abundant number, since it is smaller than the sum of its proper divisors (159387947044692).

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

101000122020012 is a wasteful number, since it uses less digits than its factorization.

101000122020012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 763759 (or 763757 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 101000122020012 its reverse (210020221000101), we get a palindrome (311020343020113).

The spelling of 101000122020012 in words is "one hundred one trillion, one hundred twenty-two million, twenty thousand, twelve".

Divisors: 1 2 3 4 6 12 17 23 34 46 51 68 69 92 102 138 204 276 391 782 1173 1564 2346 4692 29311 58622 87933 117244 175866 351732 498287 674153 734401 996574 1348306 1468802 1494861 1993148 2022459 2203203 2696612 2937604 2989722 4044918 4406406 5979444 8089836 8812812 11460601 12484817 16891223 22921202 24969634 33782446 34381803 37454451 45842404 49939268 50673669 67564892 68763606 74908902 101347338 137527212 149817804 202694676 287150791 574301582 861452373 1148603164 1722904746 3445809492 21526027711 43052055422 64578083133 86104110844 129156166266 258312332532 365942471087 495098637353 731884942174 990197274706 1097827413261 1463769884348 1485295912059 1980394549412 2195654826522 2970591824118 4391309653044 5941183648236 8416676835001 16833353670002 25250030505003 33666707340004 50500061010006 101000122020012