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102221012322120 = 233537213191079917
BaseRepresentation
bin10111001111100000101111…
…001000001100011101001000
3111101221020022002211121212210
4113033200233020030131020
5101344242113123301440
61001223403524505120
730350136656322546
oct2717405710143510
9441836262747783
10102221012322120
112a63076261782a
12b56b14a24b1a0
134506528036a83
141b357482a2d96
15bc400a7a4a80
hex5cf82f20c748

102221012322120 has 128 divisors (see below), whose sum is σ = 314966292076800. Its totient is φ = 26520939979776.

The previous prime is 102221012322089. The next prime is 102221012322181. The reversal of 102221012322120 is 21223210122201.

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, 94116402 + ... + 95196318.

It is an arithmetic number, because the mean of its divisors is an integer number (2460674156850).

Almost surely, 2102221012322120 is an apocalyptic number.

102221012322120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102221012322120 is an abundant number, since it is smaller than the sum of its proper divisors (212745279754680).

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

102221012322120 is a wasteful number, since it uses less digits than its factorization.

102221012322120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1101287 (or 1101283 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 102221012322120 its reverse (21223210122201), we get a palindrome (123444222444321).

The spelling of 102221012322120 in words is "one hundred two trillion, two hundred twenty-one billion, twelve million, three hundred twenty-two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 37 40 60 74 111 120 148 185 222 296 370 444 555 740 888 1110 1480 2220 4440 21319 42638 63957 85276 106595 127914 170552 213190 255828 319785 426380 511656 639570 788803 852760 1079917 1279140 1577606 2159834 2366409 2558280 3155212 3239751 3944015 4319668 4732818 5399585 6310424 6479502 7888030 8639336 9465636 10799170 11832045 12959004 15776060 16198755 18931272 21598340 23664090 25918008 31552120 32397510 39956929 43196680 47328180 64795020 79913858 94656360 119870787 129590040 159827716 199784645 239741574 319655432 399569290 479483148 599353935 799138580 958966296 1198707870 1598277160 2397415740 4794831480 23022750523 46045501046 69068251569 92091002092 115113752615 138136503138 184182004184 230227505230 276273006276 345341257845 460455010460 552546012552 690682515690 851841769351 920910020920 1381365031380 1703683538702 2555525308053 2762730062760 3407367077404 4259208846755 5111050616106 6814734154808 8518417693510 10222101232212 12777626540265 17036835387020 20444202464424 25555253080530 34073670774040 51110506161060 102221012322120