11100001110111 has 36 divisors (see below), whose sum is σ = 16479547156800. Its totient is φ = 7199490774528.

The previous prime is 11100001110089. The next prime is 11100001110127. The reversal of 11100001110111 is 11101110000111.

It is not a de Polignac number, because 11100001110111 - 2⁷ = 11100001109983 is a prime.

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

11100001110111 is a modest number, since divided by 1110111 gives 111000 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 11100001110093 and 11100001110102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11100001110151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 259816210 + ... + 259858928.

It is an arithmetic number, because the mean of its divisors is an integer number (457765198800).

Almost surely, 2^{11100001110111} is an apocalyptic number.

11100001110111 is a deficient number, since it is larger than the sum of its proper divisors (5379546046689).

11100001110111 is a wasteful number, since it uses less digits than its factorization.

11100001110111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63888 (or 63848 counting only the distinct ones).

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

Adding to 11100001110111 its reverse (11101110000111), we get a palindrome (22201111110222).

Subtracting 11100001110111 from its reverse (11101110000111), we obtain a square (1108890000 = 33300²).

The spelling of 11100001110111 in words is "eleven trillion, one hundred billion, one million, one hundred ten thousand, one hundred eleven".