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210021212102121 = 32737173520804567
BaseRepresentation
bin101111110000001101011111…
…101111100001110111101001
31000112121211110101011202011200
4233300031133233201313221
5210011441420244231441
62022402225103314413
762144350264610340
oct5760153757416751
91015554411152150
10210021212102121
1160a1254aa98682
121b67b626baba09
139025bb8c62b04
1439c111bdd8b57
1519432013797b6
hexbf035fbe1de9

210021212102121 has 48 divisors (see below), whose sum is σ = 358130219576064. Its totient is φ = 116093587416192.

The previous prime is 210021212102099. The next prime is 210021212102159. The reversal of 210021212102121 is 121201212120012.

210021212102121 is a `hidden beast` number, since 210 + 0 + 2 + 121 + 210 + 2 + 121 = 666.

It is not a de Polignac number, because 210021212102121 - 29 = 210021212101609 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 210021212102094 and 210021212102103.

It is not an unprimeable number, because it can be changed into a prime (210021212102921) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 259999021 + ... + 260805546.

It is an arithmetic number, because the mean of its divisors is an integer number (7461046241168).

Almost surely, 2210021212102121 is an apocalyptic number.

210021212102121 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

210021212102121 is a deficient number, since it is larger than the sum of its proper divisors (148109007473943).

210021212102121 is a wasteful number, since it uses less digits than its factorization.

210021212102121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 520804790 (or 520804787 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 210021212102121 its reverse (121201212120012), we get a palindrome (331222424222133).

The spelling of 210021212102121 in words is "two hundred ten trillion, twenty-one billion, two hundred twelve million, one hundred two thousand, one hundred twenty-one".

Divisors: 1 3 7 9 21 37 63 111 173 259 333 519 777 1211 1557 2331 3633 6401 10899 19203 44807 57609 134421 403263 520804567 1562413701 3645631969 4687241103 10936895907 19269768979 32810687721 57809306937 90099190091 134888382853 173427920811 270297570273 404665148559 630694330637 810892710819 1213995445677 1892082991911 3333670033367 5676248975733 10001010100101 23335690233569 30003030300303 70007070700707 210021212102121