111111011001100 has 72 divisors (see below), whose sum is σ = 263252787212016. Its totient is φ = 40369791840000.

The previous prime is 111111011001071. The next prime is 111111011001139. The reversal of 111111011001100 is 1100110111111.

It is a happy number.

111111011001100 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 an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 41465511 + ... + 44063710.

It is an arithmetic number, because the mean of its divisors is an integer number (3656288711278).

Almost surely, 2^{111111011001100} is an apocalyptic number.

111111011001100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

111111011001100 is an abundant number, since it is smaller than the sum of its proper divisors (152141776210916).

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

111111011001100 is a wasteful number, since it uses less digits than its factorization.

111111011001100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85530427 (or 85530420 counting only the distinct ones).

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

Adding to 111111011001100 its reverse (1100110111111), we get a palindrome (112211121112211).

The spelling of 111111011001100 in words is "one hundred eleven trillion, one hundred eleven billion, eleven million, one thousand, one hundred".