111100011111111 has 64 divisors (see below), whose sum is σ = 167622699110400. Its totient is φ = 64860277248000.

The previous prime is 111100011111049. The next prime is 111100011111157. The reversal of 111100011111111 is 111111110001111.

111100011111111 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 111100011111111 - 2³⁷ = 110962572157639 is a prime.

111100011111111 is a modest number, since divided by 11111111 gives 1111000 as remainder.

It is a zygodrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111100011111191) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2600695210 + ... + 2600737928.

It is an arithmetic number, because the mean of its divisors is an integer number (2619104673600).

Almost surely, 2^{111100011111111} is an apocalyptic number.

111100011111111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

111100011111111 is a deficient number, since it is larger than the sum of its proper divisors (56522687999289).

111100011111111 is a wasteful number, since it uses less digits than its factorization.

111100011111111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63960.

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

Adding to 111100011111111 its reverse (111111110001111), we get a palindrome (222211121112222).

It can be divided in two parts, 11110001111 and 1111, that multiplied together give a palindrome (12343211234321).

The spelling of 111100011111111 in words is "one hundred eleven trillion, one hundred billion, eleven million, one hundred eleven thousand, one hundred eleven".