113332112202100 has 144 divisors (see below), whose sum is σ = 272038796902656. Its totient is φ = 40635834624000.

The previous prime is 113332112202091. The next prime is 113332112202161. The reversal of 113332112202100 is 1202211233311.

It is a super-2 number, since 2×113332112202100² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 291374952 + ... + 291763648.

It is an arithmetic number, because the mean of its divisors is an integer number (1889158311824).

Almost surely, 2^{113332112202100} is an apocalyptic number.

113332112202100 is a gapful number since it is divisible by the number (10) 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 113332112202100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136019398451328).

113332112202100 is an abundant number, since it is smaller than the sum of its proper divisors (158706684700556).

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

113332112202100 is a wasteful number, since it uses less digits than its factorization.

113332112202100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 392426 (or 392419 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

Adding to 113332112202100 its reverse (1202211233311), we get a palindrome (114534323435411).

The spelling of 113332112202100 in words is "one hundred thirteen trillion, three hundred thirty-two billion, one hundred twelve million, two hundred two thousand, one hundred".