11100000000111 has 96 divisors (see below), whose sum is σ = 17440094138880. Its totient is φ = 6258626922240.

The previous prime is 11100000000091. The next prime is 11100000000169.

11100000000111 is nontrivially palindromic in base 10.

11100000000111 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 11100000000111 - 2²⁶ = 11099932891247 is a prime.

11100000000111 is a strobogrammatic number because it is the same when read upside-down.

It is a zygodrome in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 11100000000111.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11100000007111) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1264376520 + ... + 1264385298.

It is an arithmetic number, because the mean of its divisors is an integer number (181667647280).

Almost surely, 2^{11100000000111} is an apocalyptic number.

11100000000111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11100000000111 is a deficient number, since it is larger than the sum of its proper divisors (6340094138769).

11100000000111 is a wasteful number, since it uses less digits than its factorization.

11100000000111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12957 (or 12946 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 6.

It can be divided in two parts, 11100000000 and 111, that multiplied together give a square (1232100000000 = 1110000²).

The spelling of 11100000000111 in words is "eleven trillion, one hundred billion, one hundred eleven", and thus it is an aban number.