111100013111101 has 48 divisors (see below), whose sum is σ = 130701717780480. Its totient is φ = 94154240164320.

The previous prime is 111100013111093. The next prime is 111100013111119. The reversal of 111100013111101 is 101111310001111.

It is a happy number.

It is not a de Polignac number, because 111100013111101 - 2³ = 111100013111093 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111100013111141) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11324020486 + ... + 11324030296.

It is an arithmetic number, because the mean of its divisors is an integer number (2722952453760).

Almost surely, 2^{111100013111101} is an apocalyptic number.

It is an amenable number.

111100013111101 is a deficient number, since it is larger than the sum of its proper divisors (19601704669379).

111100013111101 is a wasteful number, since it uses less digits than its factorization.

111100013111101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13934 (or 13927 counting only the distinct ones).

The product of its (nonzero) digits is 3, while the sum is 13.

Adding to 111100013111101 its reverse (101111310001111), we get a palindrome (212211323112212).

The spelling of 111100013111101 in words is "one hundred eleven trillion, one hundred billion, thirteen million, one hundred eleven thousand, one hundred one".