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102021020112121 = 111011289190737357
BaseRepresentation
bin10111001100100110011110…
…101010011101010011111001
3111101020010002022012201020221
4113030212132222131103321
5101333003022122041441
61000551450513420041
730326526661512115
oct2714463652352371
9441203068181227
10102021020112121
112a563965197350
12b53843526a621
1344c0705514586
141b29bb524c745
15bbdc02d6d8d1
hex5cc99ea9d4f9

102021020112121 has 32 divisors (see below), whose sum is σ = 112546790893440. Its totient is φ = 91706290368000.

The previous prime is 102021020112097. The next prime is 102021020112157. The reversal of 102021020112121 is 121211020120201.

It is not a de Polignac number, because 102021020112121 - 27 = 102021020111993 is a prime.

It is a super-2 number, since 2×1020210201121212 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 102021020112095 and 102021020112104.

It is not an unprimeable number, because it can be changed into a prime (102021021112121) 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, 2730955975 + ... + 2730993331.

It is an arithmetic number, because the mean of its divisors is an integer number (3517087215420).

Almost surely, 2102021020112121 is an apocalyptic number.

102021020112121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

102021020112121 is a deficient number, since it is larger than the sum of its proper divisors (10525770781319).

102021020112121 is a wasteful number, since it uses less digits than its factorization.

102021020112121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40665.

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 102021020112121 its reverse (121211020120201), we get a palindrome (223232040232322).

The spelling of 102021020112121 in words is "one hundred two trillion, twenty-one billion, twenty million, one hundred twelve thousand, one hundred twenty-one".

Divisors: 1 11 101 1111 1289 1907 14179 20977 37357 130189 192607 410927 1432079 2118677 2458123 3773057 27039353 41503627 48153173 71239799 248270423 529684903 783637789 2730974653 4863470473 7195219699 53498175203 79147416689 91828100911 1010109110021 9274638192011 102021020112121