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102120101221200 = 24352541315721427
BaseRepresentation
bin10111001110000010110000…
…010110111001001101010000
3111101120120211102210120010120
4113032002300112321031100
5101341113431403034300
61001105154333430240
730336635210162256
oct2716026026711520
9441516742716116
10102120101221200
112a5a1989968067
12b55368733b380
1344c9b65844c7a
141b308d42365d6
15bc15a15993a0
hex5ce0b05b9350

102120101221200 has 120 divisors (see below), whose sum is σ = 327185178222048. Its totient is φ = 27226994403840.

The previous prime is 102120101221181. The next prime is 102120101221283. The reversal of 102120101221200 is 2122101021201.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 102120101221200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1365114 + ... + 14356313.

Almost surely, 2102120101221200 is an apocalyptic number.

102120101221200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102120101221200 is an abundant number, since it is smaller than the sum of its proper divisors (225065077000848).

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

102120101221200 is a wasteful number, since it uses less digits than its factorization.

102120101221200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15726861 (or 15726850 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 102120101221200 its reverse (2122101021201), we get a palindrome (104242202242401).

The spelling of 102120101221200 in words is "one hundred two trillion, one hundred twenty billion, one hundred one million, two hundred twenty-one thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 150 200 240 300 400 600 1200 5413 10826 16239 21652 27065 32478 43304 54130 64956 81195 86608 108260 129912 135325 162390 216520 259824 270650 324780 405975 433040 541300 649560 811950 1082600 1299120 1623900 2165200 3247800 6495600 15721427 31442854 47164281 62885708 78607135 94328562 125771416 157214270 188657124 235821405 251542832 314428540 377314248 393035675 471642810 628857080 754628496 786071350 943285620 1179107025 1257714160 1572142700 1886571240 2358214050 3144285400 3773142480 4716428100 6288570800 9432856200 18865712400 85100084351 170200168702 255300253053 340400337404 425500421755 510600506106 680800674808 851000843510 1021201012212 1276501265265 1361601349616 1702001687020 2042402024424 2127502108775 2553002530530 3404003374040 4084804048848 4255004217550 5106005061060 6382506326325 6808006748080 8510008435100 10212010122120 12765012652650 17020016870200 20424020244240 25530025305300 34040033740400 51060050610600 102120101221200