111113101100 has 72 divisors (see below), whose sum is σ = 245349973680. Its totient is φ = 43665592320.

The previous prime is 111113101091. The next prime is 111113101111. The reversal of 111113101100 is 1101311111.

111113101100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×111113101100² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11895632 + ... + 11904968.

Almost surely, 2^111113101100 is an apocalyptic number.

111113101100 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 111113101100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122674986840).

111113101100 is an abundant number, since it is smaller than the sum of its proper divisors (134236872580).

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

111113101100 is a wasteful number, since it uses less digits than its factorization.

111113101100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11427 (or 11420 counting only the distinct ones).

The product of its (nonzero) digits is 3, while the sum is 11.

Adding to 111113101100 its reverse (1101311111), we get a palindrome (112214412211).

The spelling of 111113101100 in words is "one hundred eleven billion, one hundred thirteen million, one hundred one thousand, one hundred".