112111113100 has 324 divisors, whose sum is σ = 303867738720. Its totient is φ = 35783596800.

The previous prime is 112111113097. The next prime is 112111113131. The reversal of 112111113100 is 1311111211.

It is a super-2 number, since 2×112111113100² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 107902381 + ... + 107903419.

Almost surely, 2^112111113100 is an apocalyptic number.

112111113100 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 112111113100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151933869360).

112111113100 is an abundant number, since it is smaller than the sum of its proper divisors (191756625620).

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

112111113100 is a wasteful number, since it uses less digits than its factorization.

112111113100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1166 (or 1133 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 13.

Adding to 112111113100 its reverse (1311111211), we get a palindrome (113422224311).

The spelling of 112111113100 in words is "one hundred twelve billion, one hundred eleven million, one hundred thirteen thousand, one hundred".