11100111110001 has 96 divisors (see below), whose sum is σ = 18041154861600. Its totient is φ = 6541245849600.

The previous prime is 11100111109981. The next prime is 11100111110041. The reversal of 11100111110001 is 10001111100111.

It can be written as a sum of positive squares in 16 ways, for example, as 1019968704225 + 10080142405776 = 1009935^2 + 3174924^2 .

It is a de Polignac number, because none of the positive numbers 2^k-11100111110001 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (11100111110041) 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, 1121105151 + ... + 1121115051.

It is an arithmetic number, because the mean of its divisors is an integer number (187928696475).

Almost surely, 2^{11100111110001} is an apocalyptic number.

It is an amenable number.

11100111110001 is a deficient number, since it is larger than the sum of its proper divisors (6941043751599).

11100111110001 is a wasteful number, since it uses less digits than its factorization.

11100111110001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16819 (or 16816 counting only the distinct ones).

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

Adding to 11100111110001 its reverse (10001111100111), we get a palindrome (21101222210112).

The spelling of 11100111110001 in words is "eleven trillion, one hundred billion, one hundred eleven million, one hundred ten thousand, one".