11100112000011 has 96 divisors (see below), whose sum is σ = 17021084221440. Its totient is φ = 6960370652928.

The previous prime is 11100111999973. The next prime is 11100112000013. The reversal of 11100112000011 is 11000021100111.

It is not a de Polignac number, because 11100112000011 - 2⁶ = 11100111999947 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 = 11100111999957 and 11100112000002.

It is not an unprimeable number, because it can be changed into a prime (11100112000013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 704001250 + ... + 704017016.

It is an arithmetic number, because the mean of its divisors is an integer number (177302960640).

Almost surely, 2^{11100112000011} is an apocalyptic number.

11100112000011 is a deficient number, since it is larger than the sum of its proper divisors (5920972221429).

11100112000011 is a wasteful number, since it uses less digits than its factorization.

11100112000011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16313 (or 16310 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 11100112000011 its reverse (11000021100111), we get a palindrome (22100133100122).

The spelling of 11100112000011 in words is "eleven trillion, one hundred billion, one hundred twelve million, eleven", and thus it is an aban number.