111111101111100 has 144 divisors (see below), whose sum is σ = 331879986099200. Its totient is φ = 28671399014400.

The previous prime is 111111101111063. The next prime is 111111101111117. The reversal of 111111101111100 is 1111101111111.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 110382876 + ... + 111384924.

Almost surely, 2^{111111101111100} is an apocalyptic number.

111111101111100 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 111111101111100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165939993049600).

111111101111100 is an abundant number, since it is smaller than the sum of its proper divisors (220768884988100).

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

111111101111100 is a wasteful number, since it uses less digits than its factorization.

111111101111100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1014020 (or 1014013 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 12.

Adding to 111111101111100 its reverse (1111101111111), we get a palindrome (112222202222211).

The spelling of 111111101111100 in words is "one hundred eleven trillion, one hundred eleven billion, one hundred one million, one hundred eleven thousand, one hundred".