11100101100111 has 12 divisors (see below), whose sum is σ = 16035362888688. Its totient is φ = 7399198082304.

The previous prime is 11100101100097. The next prime is 11100101100161. The reversal of 11100101100111 is 11100110100111.

It is not a de Polignac number, because 11100101100111 - 2²⁶ = 11100033991247 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 11100101100093 and 11100101100102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11100101100161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 72362275 + ... + 72515508.

It is an arithmetic number, because the mean of its divisors is an integer number (1336280240724).

Almost surely, 2^{11100101100111} is an apocalyptic number.

11100101100111 is a deficient number, since it is larger than the sum of its proper divisors (4935261788577).

11100101100111 is a wasteful number, since it uses less digits than its factorization.

11100101100111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144886302 (or 144886299 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 9.

Adding to 11100101100111 its reverse (11100110100111), we get a palindrome (22200211200222).

Subtracting 11100101100111 from its reverse (11100110100111), we obtain a square (9000000 = 3000²).

The spelling of 11100101100111 in words is "eleven trillion, one hundred billion, one hundred one million, one hundred thousand, one hundred eleven".