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202122120200121 = 32112418471525219
BaseRepresentation
bin101101111101010000111001…
…001011001111111110111001
3222111122200112002011211211100
4231331100321023033332321
5202443032100232400441
61553513341542122013
760400561363353462
oct5575207113177671
9874580462154740
10202122120200121
11594475675a3a60
121a804755120309
1388a205a04b9a4
1437caa97243d69
1518579d8229cb6
hexb7d4392cffb9

202122120200121 has 24 divisors (see below), whose sum is σ = 319817020105440. Its totient is φ = 121989963139200.

The previous prime is 202122120200107. The next prime is 202122120200149. The reversal of 202122120200121 is 121002021221202.

It is a happy number.

202122120200121 is a `hidden beast` number, since 20 + 212 + 212 + 0 + 200 + 1 + 21 = 666.

It is not a de Polignac number, because 202122120200121 - 26 = 202122120200057 is a prime.

It is a super-3 number, since 3×2021221202001213 (a number of 44 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 202122120200094 and 202122120200103.

It is not an unprimeable number, because it can be changed into a prime (202122120200521) 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, 4235738751 + ... + 4235786468.

It is an arithmetic number, because the mean of its divisors is an integer number (13325709171060).

Almost surely, 2202122120200121 is an apocalyptic number.

It is an amenable number.

202122120200121 is a deficient number, since it is larger than the sum of its proper divisors (117694899905319).

202122120200121 is a wasteful number, since it uses less digits than its factorization.

202122120200121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8471525477 (or 8471525474 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 202122120200121 its reverse (121002021221202), we get a palindrome (323124141421323).

The spelling of 202122120200121 in words is "two hundred two trillion, one hundred twenty-two billion, one hundred twenty million, two hundred thousand, one hundred twenty-one".

Divisors: 1 3 9 11 33 99 241 723 2169 2651 7953 23859 8471525219 25414575657 76243726971 93186777409 279560332227 838680996681 2041637577779 6124912733337 18374738200011 22458013355569 67374040066707 202122120200121