202013313122121 has 16 divisors (see below), whose sum is σ = 275087146118400. Its totient is φ = 131807619183488.

The previous prime is 202013313122107. The next prime is 202013313122167. The reversal of 202013313122121 is 121221313310202.

It is a cyclic number.

It is not a de Polignac number, because 202013313122121 - 2⁷ = 202013313121993 is a prime.

It is a super-2 number, since 2×202013313122121² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 202013313122091 and 202013313122100.

It is not an unprimeable number, because it can be changed into a prime (202013313122321) 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, 5992206 + ... + 20974583.

It is an arithmetic number, because the mean of its divisors is an integer number (17192946632400).

Almost surely, 2^{202013313122121} is an apocalyptic number.

It is an amenable number.

202013313122121 is a deficient number, since it is larger than the sum of its proper divisors (73073832996279).

202013313122121 is a wasteful number, since it uses less digits than its factorization.

202013313122121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27019968.

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 202013313122121 its reverse (121221313310202), we get a palindrome (323234626432323).

The spelling of 202013313122121 in words is "two hundred two trillion, thirteen billion, three hundred thirteen million, one hundred twenty-two thousand, one hundred twenty-one".