11100120111120 has 80 divisors (see below), whose sum is σ = 34681320253440. Its totient is φ = 2936724682752.

The previous prime is 11100120111097. The next prime is 11100120111133. The reversal of 11100120111120 is 2111102100111.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×11100120111120² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 11100120111096 and 11100120111105.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 182058105 + ... + 182119064.

It is an arithmetic number, because the mean of its divisors is an integer number (433516503168).

Almost surely, 2^{11100120111120} is an apocalyptic number.

11100120111120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11100120111120 is an abundant number, since it is smaller than the sum of its proper divisors (23581200142320).

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

11100120111120 is a wasteful number, since it uses less digits than its factorization.

11100120111120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 364177312 (or 364177306 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 11100120111120 its reverse (2111102100111), we get a palindrome (13211222211231).

The spelling of 11100120111120 in words is "eleven trillion, one hundred billion, one hundred twenty million, one hundred eleven thousand, one hundred twenty".