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100200012201020 = 225167907206316033
BaseRepresentation
bin10110110010000110100010…
…001000100011110000111100
3111010210000202010120002102202
4112302012202020203300330
5101113134111110413040
6553035130010211032
730051132465613604
oct2662064210436074
9433700663502382
10100200012201020
1129a2164a751166
12b2a3525423a78
1343baa88b47754
141aa59c678bc04
15b8b673d54015
hex5b21a2223c3c

100200012201020 has 96 divisors (see below), whose sum is σ = 212029355317248. Its totient is φ = 39774308493312.

The previous prime is 100200012200957. The next prime is 100200012201049. The reversal of 100200012201020 is 20102210002001.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 100200012200992 and 100200012201010.

It is a congruent number.

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, 6249602924 + ... + 6249618956.

It is an arithmetic number, because the mean of its divisors is an integer number (2208639117888).

Almost surely, 2100200012201020 is an apocalyptic number.

100200012201020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100200012201020 is an abundant number, since it is smaller than the sum of its proper divisors (111829343116228).

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

100200012201020 is a wasteful number, since it uses less digits than its factorization.

100200012201020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19179 (or 19177 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 100200012201020 its reverse (20102210002001), we get a palindrome (120302222203021).

The spelling of 100200012201020 in words is "one hundred trillion, two hundred billion, twelve million, two hundred one thousand, twenty".

Divisors: 1 2 4 5 10 20 167 334 668 835 907 1670 1814 2063 3340 3628 4126 4535 8252 9070 10315 16033 18140 20630 32066 41260 64132 80165 151469 160330 302938 320660 344521 605876 689042 757345 1378084 1514690 1722605 1871141 2677511 3029380 3445210 3742282 5355022 6890420 7484564 9355705 10710044 13387555 14541931 18711410 26775110 29083862 33076079 37422820 53550220 58167724 66152158 72709655 132304316 145419310 165380395 290838620 312480547 330760790 624961094 661521580 1249922188 1562402735 2428502477 3124805470 4857004954 5523705193 6249610940 9714009908 11047410386 12142512385 22094820772 24285024770 27618525965 30000003653 48570049540 55237051930 60000007306 110474103860 120000014612 150000018265 300000036530 600000073060 5010000610051 10020001220102 20040002440204 25050003050255 50100006100510 100200012201020