11101100000110 has 64 divisors (see below), whose sum is σ = 20412385689600. Its totient is φ = 4345518004992.

The previous prime is 11101100000087. The next prime is 11101100000117. The reversal of 11101100000110 is 1100000110111.

It is a happy number.

11101100000110 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 11101100000093 and 11101100000102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11101100000117) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 117470739 + ... + 117565201.

It is an arithmetic number, because the mean of its divisors is an integer number (318943526400).

Almost surely, 2^{11101100000110} is an apocalyptic number.

11101100000110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

11101100000110 is a deficient number, since it is larger than the sum of its proper divisors (9311285689490).

11101100000110 is a wasteful number, since it uses less digits than its factorization.

11101100000110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95425.

The product of its (nonzero) digits is 1, while the sum is 7.

Adding to 11101100000110 its reverse (1100000110111), we get a palindrome (12201100110221).

The spelling of 11101100000110 in words is "eleven trillion, one hundred one billion, one hundred million, one hundred ten", and thus it is an aban number.