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102010012120012 = 221729330115670771
BaseRepresentation
bin10111001100011100001110…
…100010010011001111001100
3111101012001200010201202220111
4113030130032202103033030
5101332313001100320022
61000542430322125404
730325660124231503
oct2714341642231714
9441161603652814
10102010012120012
112a55a22649aa07
12b5362827b0864
1344bc66ca4c289
141b2944d29b83a
15bbd7ab751477
hex5cc70e8933cc

102010012120012 has 48 divisors (see below), whose sum is σ = 195595680964320. Its totient is φ = 46335332736000.

The previous prime is 102010012120001. The next prime is 102010012120019. The reversal of 102010012120012 is 210021210010201.

It is a junction number, because it is equal to n+sod(n) for n = 102010012119974 and 102010012120001.

It is not an unprimeable number, because it can be changed into a prime (102010012120019) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1325814 + ... + 14344957.

It is an arithmetic number, because the mean of its divisors is an integer number (4074910020090).

Almost surely, 2102010012120012 is an apocalyptic number.

It is an amenable number.

102010012120012 is a deficient number, since it is larger than the sum of its proper divisors (93585668844308).

102010012120012 is a wasteful number, since it uses less digits than its factorization.

102010012120012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15674122 (or 15674120 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 102010012120012 its reverse (210021210010201), we get a palindrome (312031222130213).

The spelling of 102010012120012 in words is "one hundred two trillion, ten billion, twelve million, one hundred twenty thousand, twelve".

Divisors: 1 2 4 17 29 34 58 68 116 493 986 1972 3301 6602 13204 56117 95729 112234 191458 224468 382916 1627393 3254786 6509572 15670771 31341542 62683084 266403107 454452359 532806214 908904718 1065612428 1817809436 7725690103 15451380206 30902760412 51729215071 103458430142 206916860284 879396656207 1500147237059 1758793312414 3000294474118 3517586624828 6000588948236 25502503030003 51005006060006 102010012120012