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102101210210120 = 23511255253909091
BaseRepresentation
bin10111001101110001001010…
…010111011001111101001000
3111101111210001220000202200112
4113031301022113121331020
5101340311234303210440
61001052352021453452
730335366112220232
oct2715611227317510
9441453056022615
10102101210210120
112a594975432910
12b54ba94871288
1344c8144b475c4
141b2da2134d252
15bc0d47d8c965
hex5cdc4a5d9f48

102101210210120 has 64 divisors (see below), whose sum is σ = 250613318917440. Its totient is φ = 37127526508800.

The previous prime is 102101210210011. The next prime is 102101210210177. The reversal of 102101210210120 is 21012012101201.

It is a super-2 number, since 2×1021012102101202 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 102101210210095 and 102101210210104.

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, 111856775 + ... + 112765865.

It is an arithmetic number, because the mean of its divisors is an integer number (3915833108085).

Almost surely, 2102101210210120 is an apocalyptic number.

102101210210120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102101210210120 is an abundant number, since it is smaller than the sum of its proper divisors (148512108707320).

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

102101210210120 is a wasteful number, since it uses less digits than its factorization.

102101210210120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1164366 (or 1164362 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 102101210210120 its reverse (21012012101201), we get a palindrome (123113222311321).

The spelling of 102101210210120 in words is "one hundred two trillion, one hundred one billion, two hundred ten million, two hundred ten thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 440 255253 510506 909091 1021012 1276265 1818182 2042024 2552530 2807783 3636364 4545455 5105060 5615566 7272728 9090910 10000001 10210120 11231132 14038915 18181820 20000002 22462264 28077830 36363640 40000004 50000005 56155660 80000008 100000010 112311320 200000020 400000040 232048205023 464096410046 928192820092 1160241025115 1856385640184 2320482050230 2552530255253 4640964100460 5105060510506 9281928200920 10210121021012 12762651276265 20420242042024 25525302552530 51050605105060 102101210210120