11100110100111 has 8 divisors (see below), whose sum is σ = 16444607555760. Its totient is φ = 7400073400056.

The previous prime is 11100110100077. The next prime is 11100110100137. The reversal of 11100110100111 is 11100101100111.

It is not a de Polignac number, because 11100110100111 - 2¹³ = 11100110091919 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 = 11100110100093 and 11100110100102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11100110100811) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 205557594420 + ... + 205557594473.

It is an arithmetic number, because the mean of its divisors is an integer number (2055575944470).

Almost surely, 2^{11100110100111} is an apocalyptic number.

11100110100111 is a deficient number, since it is larger than the sum of its proper divisors (5344497455649).

11100110100111 is an equidigital number, since it uses as much as digits as its factorization.

11100110100111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 411115188902 (or 411115188896 counting only the distinct ones).

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

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

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

The spelling of 11100110100111 in words is "eleven trillion, one hundred billion, one hundred ten million, one hundred thousand, one hundred eleven".