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102121202122212 = 223713181915140871
BaseRepresentation
bin10111001110000011110001…
…111110011111110111100100
3111101120200200011100010102010
4113032003301332133313210
5101341123210220402322
61001105455501514220
730340004405530230
oct2716036176376744
9441520604303363
10102121202122212
112a5a23a4338309
12b553933b72970
1344c9cac94caa0
141b3099a52b5c0
15bc161805c20c
hex5ce0f1f9fde4

102121202122212 has 96 divisors (see below), whose sum is σ = 293287323377664. Its totient is φ = 26931578486400.

The previous prime is 102121202122171. The next prime is 102121202122237. The reversal of 102121202122212 is 212221202121201.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17294137 + ... + 22435007.

It is an arithmetic number, because the mean of its divisors is an integer number (3055076285184).

Almost surely, 2102121202122212 is an apocalyptic number.

102121202122212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102121202122212 is an abundant number, since it is smaller than the sum of its proper divisors (191166121255452).

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

102121202122212 is a wasteful number, since it uses less digits than its factorization.

102121202122212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5159089 (or 5159087 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 21.

Adding to 102121202122212 its reverse (212221202121201), we get a palindrome (314342404243413).

The spelling of 102121202122212 in words is "one hundred two trillion, one hundred twenty-one billion, two hundred two million, one hundred twenty-two thousand, two hundred twelve".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 52 78 84 91 156 182 273 364 546 1092 18191 36382 54573 72764 109146 127337 218292 236483 254674 382011 472966 509348 709449 764022 945932 1418898 1528044 1655381 2837796 3310762 4966143 5140871 6621524 9932286 10281742 15422613 19864572 20563484 30845226 35986097 61690452 66831323 71972194 107958291 133662646 143944388 200493969 215916582 267325292 400987938 431833164 467819261 801975876 935638522 1403457783 1871277044 2806915566 5613831132 93517584361 187035168722 280552753083 374070337444 561105506166 654623090527 1122211012332 1215728596693 1309246181054 1963869271581 2431457193386 2618492362108 3647185790079 3927738543162 4862914386772 7294371580158 7855477086324 8510100176851 14588743160316 17020200353702 25530300530553 34040400707404 51060601061106 102121202122212