102202131121311 has 64 divisors (see below), whose sum is σ = 151505753591808. Its totient is φ = 60888949836288.

The previous prime is 102202131121273. The next prime is 102202131121361. The reversal of 102202131121311 is 113121131202201.

It is not a de Polignac number, because 102202131121311 - 2³¹ = 102199983637663 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102202131121361) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 61652470 + ... + 63288476.

It is an arithmetic number, because the mean of its divisors is an integer number (2367277399872).

Almost surely, 2^{102202131121311} is an apocalyptic number.

102202131121311 is a deficient number, since it is larger than the sum of its proper divisors (49303622470497).

102202131121311 is a wasteful number, since it uses less digits than its factorization.

102202131121311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1636440.

The product of its (nonzero) digits is 144, while the sum is 21.

Adding to 102202131121311 its reverse (113121131202201), we get a palindrome (215323262323512).

The spelling of 102202131121311 in words is "one hundred two trillion, two hundred two billion, one hundred thirty-one million, one hundred twenty-one thousand, three hundred eleven".