11101100110111 has 16 divisors (see below), whose sum is σ = 12451441476096. Its totient is φ = 9809433720000.

The previous prime is 11101100110103. The next prime is 11101100110123.

It is a happy number.

11101100110111 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 11101100110111 - 2³ = 11101100110103 is a prime.

11101100110111 is a strobogrammatic number because it is the same when read upside-down.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11101100110211) 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, 45291825 + ... + 45536266.

It is an arithmetic number, because the mean of its divisors is an integer number (778215092256).

Almost surely, 2^{11101100110111} is an apocalyptic number.

11101100110111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11101100110111 is a deficient number, since it is larger than the sum of its proper divisors (1350341365985).

11101100110111 is a wasteful number, since it uses less digits than its factorization.

11101100110111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90828414.

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

It can be divided in two parts, 11101100 and 110111, that added together give a palindrome (11211211).

The spelling of 11101100110111 in words is "eleven trillion, one hundred one billion, one hundred million, one hundred ten thousand, one hundred eleven".