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102102220200012 = 22331418016566071
BaseRepresentation
bin10111001101110010000110…
…100100001101100001001100
3111101111212200021111120100120
4113031302012210031201030
5101340320321332400022
61001053040141224540
730335433125046204
oct2715620644154114
9441455607446316
10102102220200012
112a59534355a1aa
12b550116b62150
1344c8276171866
141b2dab953b404
15bc0da6893d5c
hex5cdc8690d84c

102102220200012 has 48 divisors (see below), whose sum is σ = 245929547802624. Its totient is φ = 32935407120000.

The previous prime is 102102220200007. The next prime is 102102220200017. The reversal of 102102220200012 is 210002022201201.

It is an interprime number because it is at equal distance from previous prime (102102220200007) and next prime (102102220200017).

It is a junction number, because it is equal to n+sod(n) for n = 102102220199964 and 102102220200000.

It is not an unprimeable number, because it can be changed into a prime (102102220200017) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12266937 + ... + 18833007.

It is an arithmetic number, because the mean of its divisors is an integer number (5123532245888).

Almost surely, 2102102220200012 is an apocalyptic number.

102102220200012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102102220200012 is an abundant number, since it is smaller than the sum of its proper divisors (143827327602612).

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

102102220200012 is a wasteful number, since it uses less digits than its factorization.

102102220200012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6607910 (or 6607908 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 102102220200012 its reverse (210002022201201), we get a palindrome (312104242401213).

The spelling of 102102220200012 in words is "one hundred two trillion, one hundred two billion, two hundred twenty million, two hundred thousand, twelve".

Divisors: 1 2 3 4 6 12 31 62 93 124 186 372 41801 83602 125403 167204 250806 501612 1295831 2591662 3887493 5183324 6566071 7774986 13132142 15549972 19698213 26264284 39396426 78792852 203548201 407096402 610644603 814192804 1221289206 2442578412 274468333871 548936667742 823405001613 1097873335484 1646810003226 3293620006452 8508518350001 17017036700002 25525555050003 34034073400004 51051110100006 102102220200012