111100110111100 has 36 divisors (see below), whose sum is σ = 263004260665608. Its totient is φ = 40400040040000.

The previous prime is 111100110111061. The next prime is 111100110111113. The reversal of 111100110111100 is 1111011001111.

It is a happy number.

111100110111100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 50500048951 + ... + 50500051150.

It is an arithmetic number, because the mean of its divisors is an integer number (7305673907378).

Almost surely, 2^{111100110111100} is an apocalyptic number.

111100110111100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

111100110111100 is an abundant number, since it is smaller than the sum of its proper divisors (151904150554508).

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

111100110111100 is a wasteful number, since it uses less digits than its factorization.

111100110111100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101000100126 (or 101000100119 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 10.

Adding to 111100110111100 its reverse (1111011001111), we get a palindrome (112211121112211).

The spelling of 111100110111100 in words is "one hundred eleven trillion, one hundred billion, one hundred ten million, one hundred eleven thousand, one hundred".