202212221022121 has 16 divisors (see below), whose sum is σ = 217242734973264. Its totient is φ = 187546957185024.

The previous prime is 202212221022107. The next prime is 202212221022143. The reversal of 202212221022121 is 121220122212202.

It can be written as a sum of positive squares in 8 ways, for example, as 20259100022121 + 181953121000000 = 4501011^2 + 13489000^2 .

It is a cyclic number.

It is not a de Polignac number, because 202212221022121 - 2²⁷ = 202212086804393 is a prime.

It is a super-2 number, since 2×202212221022121² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 202212221022092 and 202212221022101.

It is not an unprimeable number, because it can be changed into a prime (202212221022101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 262764240 + ... + 263532673.

It is an arithmetic number, because the mean of its divisors is an integer number (13577670935829).

Almost surely, 2^{202212221022121} is an apocalyptic number.

It is an amenable number.

202212221022121 is a deficient number, since it is larger than the sum of its proper divisors (15030513951143).

202212221022121 is a wasteful number, since it uses less digits than its factorization.

202212221022121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 526297260.

The product of its (nonzero) digits is 512, while the sum is 22.

Adding to 202212221022121 its reverse (121220122212202), we get a palindrome (323432343234323).

The spelling of 202212221022121 in words is "two hundred two trillion, two hundred twelve billion, two hundred twenty-one million, twenty-two thousand, one hundred twenty-one".