11100111100111 has 16 divisors (see below), whose sum is σ = 12119769540000. Its totient is φ = 10082213406720.

The previous prime is 11100111100103. The next prime is 11100111100121.

It is a happy number.

11100111100111 is nontrivially palindromic in base 10.

11100111100111 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 11100111100111 - 2³ = 11100111100103 is a prime.

11100111100111 is a strobogrammatic number because it is the same when read upside-down.

It is a Duffinian number.

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 (11100111100121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 336218041 + ... + 336251053.

It is an arithmetic number, because the mean of its divisors is an integer number (757485596250).

Almost surely, 2^{11100111100111} is an apocalyptic number.

11100111100111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11100111100111 is a deficient number, since it is larger than the sum of its proper divisors (1019658439889).

11100111100111 is a wasteful number, since it uses less digits than its factorization.

11100111100111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58746.

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

It can be divided in two parts, 1110011 and 1100111, that multiplied together give a palindrome (1221135311221).

The spelling of 11100111100111 in words is "eleven trillion, one hundred billion, one hundred eleven million, one hundred thousand, one hundred eleven".