11100000111111 has 24 divisors (see below), whose sum is σ = 16476545679984. Its totient is φ = 7195680576000.

The previous prime is 11100000111071. The next prime is 11100000111131. The reversal of 11100000111111 is 11111100000111.

It is a de Polignac number, because none of the positive numbers 2^k-11100000111111 is a prime.

It is a super-3 number, since 3×11100000111111³ (a number of 40 digits) contains 333 as substring.

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

It is a zygodrome in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 11100000111093 and 11100000111102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11100000111131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9442890 + ... + 10553111.

It is an arithmetic number, because the mean of its divisors is an integer number (686522736666).

Almost surely, 2^{11100000111111} is an apocalyptic number.

11100000111111 is a deficient number, since it is larger than the sum of its proper divisors (5376545568873).

11100000111111 is a wasteful number, since it uses less digits than its factorization.

11100000111111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19997711 (or 19997708 counting only the distinct ones).

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

Adding to 11100000111111 its reverse (11111100000111), we get a palindrome (22211100111222).

It can be divided in two parts, 11100000111 and 111, that multiplied together give a palindrome (1232100012321).

The spelling of 11100000111111 in words is "eleven trillion, one hundred billion, one hundred eleven thousand, one hundred eleven".