11111100111111 has 128 divisors (see below), whose sum is σ = 21630498011136. Its totient is φ = 4879058042880.

The previous prime is 11111100110993. The next prime is 11111100111113.

11111100111111 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 11111100111111 - 2⁷ = 11111100110983 is a prime.

11111100111111 is a strobogrammatic number because it is the same when read upside-down.

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 (11111100111113) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1052290 + ... + 4830063.

It is an arithmetic number, because the mean of its divisors is an integer number (168988265712).

Almost surely, 2^{11111100111111} is an apocalyptic number.

11111100111111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11111100111111 is a deficient number, since it is larger than the sum of its proper divisors (10519397900025).

11111100111111 is a wasteful number, since it uses less digits than its factorization.

11111100111111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5882441.

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

It can be divided in two parts, 11111100 and 111111, that multiplied together give a square (1234565432100 = 1111110²).

The spelling of 11111100111111 in words is "eleven trillion, one hundred eleven billion, one hundred million, one hundred eleven thousand, one hundred eleven".