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102010012201212 = 223292331258078193
BaseRepresentation
bin10111001100011100001110…
…100010100111000011111100
3111101012001200010212220021220
4113030130032202213003330
5101332313001110414322
61000542430323553340
730325660125020313
oct2714341642470374
9441161603786256
10102010012201212
112a55a226545a15
12b53628282b850
1344bc66ca7a21b
141b2944d2bd27a
15bbd7ab76a55c
hex5cc70e8a70fc

102010012201212 has 48 divisors (see below), whose sum is σ = 247287849812640. Its totient is φ = 32689903740928.

The previous prime is 102010012201199. The next prime is 102010012201271. The reversal of 102010012201212 is 212102210010201.

It is a super-2 number, since 2×1020100122012122 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 102010012201191 and 102010012201200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 628958013 + ... + 629120180.

It is an arithmetic number, because the mean of its divisors is an integer number (5151830204430).

Almost surely, 2102010012201212 is an apocalyptic number.

102010012201212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102010012201212 is an abundant number, since it is smaller than the sum of its proper divisors (145277837611428).

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

102010012201212 is a wasteful number, since it uses less digits than its factorization.

102010012201212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1258078462 (or 1258078460 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 102010012201212 its reverse (212102210010201), we get a palindrome (314112222211413).

The spelling of 102010012201212 in words is "one hundred two trillion, ten billion, twelve million, two hundred one thousand, two hundred twelve".

Divisors: 1 2 3 4 6 12 29 58 87 116 174 233 348 466 699 932 1398 2796 6757 13514 20271 27028 40542 81084 1258078193 2516156386 3774234579 5032312772 7548469158 15096938316 36484267597 72968535194 109452802791 145937070388 218905605582 293132218969 437811211164 586264437938 879396656907 1172528875876 1758793313814 3517586627628 8500834350101 17001668700202 25502503050303 34003337400404 51005006100606 102010012201212