113044122120100 has 72 divisors (see below), whose sum is σ = 258283642226400. Its totient is φ = 42826646016000.

The previous prime is 113044122120077. The next prime is 113044122120113. The reversal of 113044122120100 is 1021221440311.

It is a super-3 number, since 3×113044122120100³ (a number of 43 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 407965 + ... + 15041764.

It is an arithmetic number, because the mean of its divisors is an integer number (3587272808700).

Almost surely, 2^{113044122120100} is an apocalyptic number.

113044122120100 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 113044122120100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129141821113200).

113044122120100 is an abundant number, since it is smaller than the sum of its proper divisors (145239520106300).

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

113044122120100 is a wasteful number, since it uses less digits than its factorization.

113044122120100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15453613 (or 15453606 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 22.

Adding to 113044122120100 its reverse (1021221440311), we get a palindrome (114065343560411).

The spelling of 113044122120100 in words is "one hundred thirteen trillion, forty-four billion, one hundred twenty-two million, one hundred twenty thousand, one hundred".