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100101100102010 = 257101971103114143
BaseRepresentation
bin10110110000101010011010…
…100000110110000101111010
3111010102120102202222211210022
4112300222122200312011322
5101110024023111231020
6552521451024450442
730041031401630240
oct2660523240660572
9433376382884708
10100101100102010
1129993702417197
12b28831ba79a22
1343b1654840907
141aa0cc1dda790
15b88cd53b0625
hex5b0a9a83617a

100101100102010 has 128 divisors (see below), whose sum is σ = 208391918911488. Its totient is φ = 33910253280000.

The previous prime is 100101100101991. The next prime is 100101100102027. The reversal of 100101100102010 is 10201001101001.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7077776999 + ... + 7077791141.

It is an arithmetic number, because the mean of its divisors is an integer number (1628061866496).

Almost surely, 2100101100102010 is an apocalyptic number.

100101100102010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100101100102010 is an abundant number, since it is smaller than the sum of its proper divisors (108290818809478).

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

100101100102010 is a wasteful number, since it uses less digits than its factorization.

100101100102010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16260.

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 100101100102010 its reverse (10201001101001), we get a palindrome (110302101203011).

The spelling of 100101100102010 in words is "one hundred trillion, one hundred one billion, one hundred million, one hundred two thousand, ten".

Divisors: 1 2 5 7 10 14 35 70 101 202 505 707 971 1010 1031 1414 1942 2062 3535 4855 5155 6797 7070 7217 9710 10310 13594 14143 14434 28286 33985 36085 67970 70715 72170 98071 99001 104131 141430 196142 198002 208262 490355 495005 520655 686497 728917 980710 990010 1001101 1041310 1372994 1428443 1457834 2002202 2856886 3432485 3644585 5005505 6864970 7007707 7142215 7289170 9999101 10011010 13732853 14015414 14284430 14581433 19998202 27465706 29162866 35038535 49995505 68664265 70077070 72907165 96129971 99991010 101111201 102070031 137328530 145814330 192259942 202222402 204140062 480649855 505556005 510350155 707778407 961299710 1011112010 1020700310 1387018153 1415556814 1472724733 2774036306 2945449466 3538892035 6935090765 7077784070 7363623665 9709127071 10309073131 13870181530 14158571443 14727247330 19418254142 20618146262 28317142886 48545635355 51545365655 70792857215 97091270710 99110000101 103090731310 141585714430 198220000202 495550000505 991100001010 1430015715743 2860031431486 7150078578715 10010110010201 14300157157430 20020220020402 50050550051005 100101100102010