220202101211121 has 24 divisors (see below), whose sum is σ = 318222122648040. Its totient is φ = 146731069132800.

The previous prime is 220202101211107. The next prime is 220202101211171. The reversal of 220202101211121 is 121112101202022.

220202101211121 is a `hidden beast` number, since 220 + 2 + 0 + 210 + 1 + 211 + 1 + 21 = 666.

220202101211121 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 116914719169521 + 103287382041600 = 10812711^2 + 10163040^2 .

It is not a de Polignac number, because 220202101211121 - 2⁵ = 220202101211089 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 220202101211094 and 220202101211103.

It is not an unprimeable number, because it can be changed into a prime (220202101211101) 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, 161141425 + ... + 162502193.

It is an arithmetic number, because the mean of its divisors is an integer number (13259255110335).

Almost surely, 2^{220202101211121} is an apocalyptic number.

It is an amenable number.

220202101211121 is a deficient number, since it is larger than the sum of its proper divisors (98020021436919).

220202101211121 is a wasteful number, since it uses less digits than its factorization.

220202101211121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1369377 (or 1369374 counting only the distinct ones).

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

Adding to 220202101211121 its reverse (121112101202022), we get a palindrome (341314202413143).

Subtracting from 220202101211121 its reverse (121112101202022), we obtain a palindrome (99090000009099).

The spelling of 220202101211121 in words is "two hundred twenty trillion, two hundred two billion, one hundred one million, two hundred eleven thousand, one hundred twenty-one".