102221031013 has 8 divisors (see below), whose sum is σ = 102547268600. Its totient is φ = 101894984640.

The previous prime is 102221031007. The next prime is 102221031041. The reversal of 102221031013 is 310130122201.

It can be written as a sum of positive squares in 4 ways, for example, as 13054890564 + 89166140449 = 114258^2 + 298607^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 102221031013 - 2²⁹ = 101684160101 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102221035013) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1064131 + ... + 1156207.

It is an arithmetic number, because the mean of its divisors is an integer number (12818408575).

Almost surely, 2^102221031013 is an apocalyptic number.

It is an amenable number.

102221031013 is a deficient number, since it is larger than the sum of its proper divisors (326237587).

102221031013 is an equidigital number, since it uses as much as digits as its factorization.

102221031013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95607.

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 102221031013 its reverse (310130122201), we get a palindrome (412351153214).

The spelling of 102221031013 in words is "one hundred two billion, two hundred twenty-one million, thirty-one thousand, thirteen".