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100122012210220 = 225711135001099511
BaseRepresentation
bin10110110000111101111000…
…111110001101010000101100
3111010111120102011211000021121
4112300331320332031100230
5101110344340111211340
6552535230055510324
730042401540622610
oct2660757076152054
9433446364730247
10100122012210220
11299a1563798650
12b2903973883a4
1343b3608191240
141aa1d074b1340
15b8960b24a94a
hex5b0f78f8d42c

100122012210220 has 96 divisors (see below), whose sum is σ = 282302065253376. Its totient is φ = 28806333177600.

The previous prime is 100122012210211. The next prime is 100122012210293. The reversal of 100122012210220 is 22012210221001.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 100122012210194 and 100122012210203.

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, 2500529736 + ... + 2500569775.

It is an arithmetic number, because the mean of its divisors is an integer number (2940646513056).

Almost surely, 2100122012210220 is an apocalyptic number.

100122012210220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100122012210220 is an abundant number, since it is smaller than the sum of its proper divisors (182180053043156).

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

100122012210220 is a wasteful number, since it uses less digits than its factorization.

100122012210220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5001099551 (or 5001099549 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 100122012210220 its reverse (22012210221001), we get a palindrome (122134222431221).

The spelling of 100122012210220 in words is "one hundred trillion, one hundred twenty-two billion, twelve million, two hundred ten thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 11 13 14 20 22 26 28 35 44 52 55 65 70 77 91 110 130 140 143 154 182 220 260 286 308 364 385 455 572 715 770 910 1001 1430 1540 1820 2002 2860 4004 5005 10010 20020 5001099511 10002199022 20004398044 25005497555 35007696577 50010995110 55012094621 65014293643 70015393154 100021990220 110024189242 130028587286 140030786308 175038482885 220048378484 260057174572 275060473105 325071468215 350076965770 385084662347 455100055501 550120946210 650142936430 700153931540 715157230073 770169324694 910200111002 1100241892420 1300285872860 1430314460146 1540338649388 1820400222004 1925423311735 2275500277505 2860628920292 3575786150365 3850846623470 4551000555010 5006100610511 7151572300730 7701693246940 9102001110020 10012201221022 14303144601460 20024402442044 25030503052555 50061006105110 100122012210220