113122102211112 has 128 divisors (see below), whose sum is σ = 301384875772800. Its totient is φ = 35382056371200.

The previous prime is 113122102211093. The next prime is 113122102211141. The reversal of 113122102211112 is 211112201221311.

It is a super-2 number, since 2×113122102211112² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 37579662 + ... + 40478082.

It is an arithmetic number, because the mean of its divisors is an integer number (2354569341975).

Almost surely, 2^{113122102211112} is an apocalyptic number.

113122102211112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113122102211112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150692437886400).

113122102211112 is an abundant number, since it is smaller than the sum of its proper divisors (188262773561688).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

113122102211112 is a wasteful number, since it uses less digits than its factorization.

113122102211112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2898812 (or 2898774 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 21.

Adding to 113122102211112 its reverse (211112201221311), we get a palindrome (324234303432423).

The spelling of 113122102211112 in words is "one hundred thirteen trillion, one hundred twenty-two billion, one hundred two million, two hundred eleven thousand, one hundred twelve".