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212102002121121 = 3277147418287977
BaseRepresentation
bin110000001110011111011000…
…011111100001100110100001
31000210222202100012200210110200
4300032133120133201212201
5210300034400020333441
62031034151543015413
762450602224133410
oct6016373037414641
91023882305623420
10212102002121121
1161644a54789502
121b95695743a569
1391471961c8b48
143a53b12511477
15197c3d6d7a7b6
hexc0e7d87e19a1

212102002121121 has 24 divisors (see below), whose sum is σ = 355068140379264. Its totient is φ = 119494085699520.

The previous prime is 212102002121069. The next prime is 212102002121129. The reversal of 212102002121121 is 121121200201212.

212102002121121 is a `hidden beast` number, since 2 + 1 + 210 + 200 + 21 + 211 + 21 = 666.

212102002121121 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 212102002121121 - 26 = 212102002121057 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 212102002121094 and 212102002121103.

It is not an unprimeable number, because it can be changed into a prime (212102002121129) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23709139516 + ... + 23709148461.

It is an arithmetic number, because the mean of its divisors is an integer number (14794505849136).

Almost surely, 2212102002121121 is an apocalyptic number.

212102002121121 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

212102002121121 is a deficient number, since it is larger than the sum of its proper divisors (142966138258143).

212102002121121 is a wasteful number, since it uses less digits than its factorization.

212102002121121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47418288061 (or 47418288058 counting only the distinct ones).

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

Adding to 212102002121121 its reverse (121121200201212), we get a palindrome (333223202322333).

The spelling of 212102002121121 in words is "two hundred twelve trillion, one hundred two billion, two million, one hundred twenty-one thousand, one hundred twenty-one".

Divisors: 1 3 7 9 21 63 71 213 497 639 1491 4473 47418287977 142254863931 331928015839 426764591793 995784047517 2987352142551 3366698446367 10100095339101 23566889124569 30300286017303 70700667373707 212102002121121