11100113211120 has 160 divisors (see below), whose sum is σ = 35343643243008. Its totient is φ = 2879761849344.

The previous prime is 11100113211097. The next prime is 11100113211169. The reversal of 11100113211120 is 2111231100111.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 11100113211120.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 106570107 + ... + 106674213.

Almost surely, 2^{11100113211120} is an apocalyptic number.

11100113211120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11100113211120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17671821621504).

11100113211120 is an abundant number, since it is smaller than the sum of its proper divisors (24243530031888).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11100113211120 is a wasteful number, since it uses less digits than its factorization.

11100113211120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116167 (or 116161 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 15.

Adding to 11100113211120 its reverse (2111231100111), we get a palindrome (13211344311231).

The spelling of 11100113211120 in words is "eleven trillion, one hundred billion, one hundred thirteen million, two hundred eleven thousand, one hundred twenty".