113100022212100 has 288 divisors, whose sum is σ = 313220924577792. Its totient is φ = 34419168000000.

The previous prime is 113100022212077. The next prime is 113100022212109. The reversal of 113100022212100 is 1212220001311.

It is not an unprimeable number, because it can be changed into a prime (113100022212109) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 897549100 + ... + 897675100.

It is an arithmetic number, because the mean of its divisors is an integer number (1087572654784).

Almost surely, 2^{113100022212100} is an apocalyptic number.

113100022212100 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 113100022212100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156610462288896).

113100022212100 is an abundant number, since it is smaller than the sum of its proper divisors (200120902365692).

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

113100022212100 is a wasteful number, since it uses less digits than its factorization.

113100022212100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128787 (or 128780 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 113100022212100 its reverse (1212220001311), we get a palindrome (114312242213411).

The spelling of 113100022212100 in words is "one hundred thirteen trillion, one hundred billion, twenty-two million, two hundred twelve thousand, one hundred".