101202112112013 has 32 divisors (see below), whose sum is σ = 164117190948480. Its totient is φ = 61125280197120.

The previous prime is 101202112111999. The next prime is 101202112112041. The reversal of 101202112112013 is 310211211202101.

It is a happy number.

It is not a de Polignac number, because 101202112112013 - 2²⁵ = 101202078557581 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101202112112083) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 581393956 + ... + 581567997.

It is an arithmetic number, because the mean of its divisors is an integer number (5128662217140).

Almost surely, 2^{101202112112013} is an apocalyptic number.

It is an amenable number.

101202112112013 is a deficient number, since it is larger than the sum of its proper divisors (62915078836467).

101202112112013 is a wasteful number, since it uses less digits than its factorization.

101202112112013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1162962266 (or 1162962260 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 18.

Adding to 101202112112013 its reverse (310211211202101), we get a palindrome (411413323314114).

The spelling of 101202112112013 in words is "one hundred one trillion, two hundred two billion, one hundred twelve million, one hundred twelve thousand, thirteen".