11101100100111 has 48 divisors (see below), whose sum is σ = 18532402387200. Its totient is φ = 6271915883904.

The previous prime is 11101100100073. The next prime is 11101100100119. The reversal of 11101100100111 is 11100100110111.

It is not a de Polignac number, because 11101100100111 - 2¹⁴ = 11101100083727 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 = 11101100100093 and 11101100100102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11101100100119) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 184658920 + ... + 184719026.

It is an arithmetic number, because the mean of its divisors is an integer number (386091716400).

Almost surely, 2^{11101100100111} is an apocalyptic number.

11101100100111 is a deficient number, since it is larger than the sum of its proper divisors (7431302287089).

11101100100111 is a wasteful number, since it uses less digits than its factorization.

11101100100111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93148 (or 93145 counting only the distinct ones).

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

Adding to 11101100100111 its reverse (11100100110111), we get a palindrome (22201200210222).

The spelling of 11101100100111 in words is "eleven trillion, one hundred one billion, one hundred million, one hundred thousand, one hundred eleven".