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102212110000110 = 2351117101180392351
BaseRepresentation
bin10111001111011000011100…
…100000100001111111101110
3111101220101022200112210212210
4113033120130200201333232
5101344120400130000420
61001215332313111250
730346403240663145
oct2717303440417756
9441811280483783
10102212110000110
112a627a04481510
12b5694849b8526
134505739896406
141b35141c3675c
15bc3b88e6e9e0
hex5cf61c821fee

102212110000110 has 128 divisors (see below), whose sum is σ = 286157109547008. Its totient is φ = 23090220800000.

The previous prime is 102212110000019. The next prime is 102212110000123. The reversal of 102212110000110 is 11000011212201.

It is a congruent 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, 89629566 + ... + 90762785.

It is an arithmetic number, because the mean of its divisors is an integer number (2235602418336).

Almost surely, 2102212110000110 is an apocalyptic number.

102212110000110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

102212110000110 is an abundant number, since it is smaller than the sum of its proper divisors (183944999546898).

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

102212110000110 is a wasteful number, since it uses less digits than its factorization.

102212110000110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180392490.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 102212110000110 its reverse (11000011212201), we get a palindrome (113212121212311).

The spelling of 102212110000110 in words is "one hundred two trillion, two hundred twelve billion, one hundred ten million, one hundred ten", and thus it is an aban number.

Divisors: 1 2 3 5 6 10 11 15 17 22 30 33 34 51 55 66 85 101 102 110 165 170 187 202 255 303 330 374 505 510 561 606 935 1010 1111 1122 1515 1717 1870 2222 2805 3030 3333 3434 5151 5555 5610 6666 8585 10302 11110 16665 17170 18887 25755 33330 37774 51510 56661 94435 113322 188870 283305 566610 180392351 360784702 541177053 901961755 1082354106 1803923510 1984315861 2705885265 3066669967 3968631722 5411770530 5952947583 6133339934 9200009901 9921579305 11905895166 15333349835 18219627451 18400019802 19843158610 29764737915 30666699670 33733369637 36439254902 46000049505 54658882353 59529475830 67466739274 91098137255 92000099010 101200108911 109317764706 168666848185 182196274510 200415901961 202400217822 273294411765 309733666667 337333696370 400831803922 506000544555 546588823530 601247705883 619467333334 929201000001 1002079509805 1012001089110 1202495411766 1548668333335 1858402000002 2004159019610 3006238529415 3097336666670 3407070333337 4646005000005 6012477058830 6814140666674 9292010000010 10221211000011 17035351666685 20442422000022 34070703333370 51106055000055 102212110000110