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102100212121010 = 251929313131909717
BaseRepresentation
bin10111001101110000001110…
…110111111111110110110010
3111101111200111022221120211012
4113031300032313333312302
5101340302213300333020
61001052105005150522
730335332302465365
oct2715601667776662
9441450438846735
10102100212121010
112a594502aa4784
12b54b85655b442
1344c801612912c
141b2d96897c0dc
15bc0cda4377c5
hex5cdc0edffdb2

102100212121010 has 128 divisors (see below), whose sum is σ = 207239541811200. Its totient is φ = 36035882588160.

The previous prime is 102100212120919. The next prime is 102100212121021. The reversal of 102100212121010 is 10121212001201.

It is a Curzon 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, 52508672 + ... + 54418388.

It is an arithmetic number, because the mean of its divisors is an integer number (1619058920400).

Almost surely, 2102100212121010 is an apocalyptic number.

102100212121010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

102100212121010 is an abundant number, since it is smaller than the sum of its proper divisors (105139329690190).

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

102100212121010 is a wasteful number, since it uses less digits than its factorization.

102100212121010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1910116.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 102100212121010 its reverse (10121212001201), we get a palindrome (112221424122211).

The spelling of 102100212121010 in words is "one hundred two trillion, one hundred billion, two hundred twelve million, one hundred twenty-one thousand, ten".

Divisors: 1 2 5 10 19 29 31 38 58 62 95 145 155 190 290 310 313 551 589 626 899 1102 1178 1565 1798 2755 2945 3130 4495 5510 5890 5947 8990 9077 9703 11894 17081 18154 19406 29735 34162 45385 48515 59470 85405 90770 97030 170810 172463 184357 281387 344926 368714 562774 862315 921785 1406935 1724630 1843570 1909717 2813870 3819434 5346353 9548585 10692706 19097170 26731765 36284623 53463530 55381793 59201227 72569246 110763586 118402454 181423115 276908965 296006135 362846230 553817930 592012270 597741421 1052254067 1124823313 1195482842 1716835583 2104508134 2249646626 2988707105 3433671166 5261270335 5624116565 5977414210 8584177915 10522540670 11248233130 11357086999 17168355830 17334501209 18529984051 22714173998 32619876077 34669002418 37059968102 56785434995 65239752154 86672506045 92649920255 113570869990 163099380385 173345012090 185299840510 326198760770 329355522971 352069696969 537369537479 658711045942 704139393938 1074739074958 1646777614855 1760348484845 2686847687395 3293555229710 3520696969690 5373695374790 10210021212101 20420042424202 51050106060505 102100212121010