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212101202020221 = 33192235471849511
BaseRepresentation
bin110000001110011110101000…
…110011011000011101111101
31000210222200021110011110101000
4300032132220303120131331
5210300031230204121341
62031033540322040513
762450543340316623
oct6016365063303575
91023880243143330
10212101202020221
1161644684089898
121b9567734a9139
13914709950c067
143a53a7815b513
15197c38b9d38b6
hexc0e7a8cd877d

212101202020221 has 32 divisors (see below), whose sum is σ = 330763766860800. Its totient is φ = 133957982237040.

The previous prime is 212101202020159. The next prime is 212101202020237. The reversal of 212101202020221 is 122020202101212.

It is a happy number.

212101202020221 is a `hidden beast` number, since 2 + 121 + 0 + 120 + 202 + 0 + 221 = 666.

It is not a de Polignac number, because 212101202020221 - 218 = 212101201758077 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 212101202020194 and 212101202020203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212101202020241) 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, 113754856 + ... + 115604366.

It is an arithmetic number, because the mean of its divisors is an integer number (10336367714400).

Almost surely, 2212101202020221 is an apocalyptic number.

It is an amenable number.

212101202020221 is a deficient number, since it is larger than the sum of its proper divisors (118662564840579).

212101202020221 is a wasteful number, since it uses less digits than its factorization.

212101202020221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2073086 (or 2073080 counting only the distinct ones).

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

Adding to 212101202020221 its reverse (122020202101212), we get a palindrome (334121404121433).

The spelling of 212101202020221 in words is "two hundred twelve trillion, one hundred one billion, two hundred two million, twenty thousand, two hundred twenty-one".

Divisors: 1 3 9 19 27 57 171 513 223547 670641 1849511 2011923 4247393 5548533 6035769 12742179 16645599 35140709 38226537 49936797 105422127 114679611 316266381 948799143 413452635517 1240357906551 3721073719653 7855600074823 11163221158959 23566800224469 70700400673407 212101202020221