11000100111111 has 24 divisors (see below), whose sum is σ = 16322421031280. Its totient is φ = 7133471110656.

The previous prime is 11000100111073. The next prime is 11000100111127. The reversal of 11000100111111 is 11111100100011.

It is not a de Polignac number, because 11000100111111 - 2⁷ = 11000100110983 is a prime.

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

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 11000100111093 and 11000100111102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11000100111131) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2625205 + ... + 5375118.

Almost surely, 2^{11000100111111} is an apocalyptic number.

11000100111111 is a deficient number, since it is larger than the sum of its proper divisors (5322320920169).

11000100111111 is a wasteful number, since it uses less digits than its factorization.

11000100111111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8004495 (or 8004492 counting only the distinct ones).

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

Adding to 11000100111111 its reverse (11111100100011), we get a palindrome (22111200211122).

The spelling of 11000100111111 in words is "eleven trillion, one hundred million, one hundred eleven thousand, one hundred eleven".