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102212110102110 = 235171021119627451
BaseRepresentation
bin10111001111011000011100…
…100000111010111001011110
3111101220101022200201222210120
4113033120130200322321132
5101344120400141231420
61001215332315215410
730346403241566421
oct2717303440727136
9441811280658716
10102212110102110
112a627a04541108
12b569484a47566
134505739900978
141b35141c619b8
15bc3b88e8ed40
hex5cf61c83ae5e

102212110102110 has 64 divisors (see below), whose sum is σ = 259764459611904. Its totient is φ = 25650721856000.

The previous prime is 102212110102027. The next prime is 102212110102117. The reversal of 102212110102110 is 11201011212201.

It is a happy number.

It is a super-2 number, since 2×1022121101021102 (a number of 29 digits) contains 22 as substring.

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

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 102212110102110.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102212110102117) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4606116 + ... + 15021335.

It is an arithmetic number, because the mean of its divisors is an integer number (4058819681436).

Almost surely, 2102212110102110 is an apocalyptic number.

102212110102110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

102212110102110 is an abundant number, since it is smaller than the sum of its proper divisors (157552349509794).

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

102212110102110 is a wasteful number, since it uses less digits than its factorization.

102212110102110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19637689.

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 102212110102110 its reverse (11201011212201), we get a palindrome (113413121314311).

The spelling of 102212110102110 in words is "one hundred two trillion, two hundred twelve billion, one hundred ten million, one hundred two thousand, one hundred ten".

Divisors: 1 2 3 5 6 10 15 17 30 34 51 85 102 170 255 510 10211 20422 30633 51055 61266 102110 153165 173587 306330 347174 520761 867935 1041522 1735870 2603805 5207610 19627451 39254902 58882353 98137255 117764706 196274510 294411765 333666667 588823530 667333334 1001000001 1668333335 2002000002 3336666670 5005000005 10010000010 200415902161 400831804322 601247706483 1002079510805 1202495412966 2004159021610 3006238532415 3407070336737 6012477064830 6814140673474 10221211010211 17035351683685 20442422020422 34070703367370 51106055051055 102212110102110