11100101122120 has 32 divisors (see below), whose sum is σ = 24979581401400. Its totient is φ = 4439266426368.

The previous prime is 11100101122109. The next prime is 11100101122177. The reversal of 11100101122120 is 2122110100111.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 6128387411364 + 4971713710756 = 2475558^2 + 2229734^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 11100101122120.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 23955855 + ... + 24414814.

Almost surely, 2^{11100101122120} is an apocalyptic number.

11100101122120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11100101122120 is an abundant number, since it is smaller than the sum of its proper divisors (13879480279280).

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

11100101122120 is a wasteful number, since it uses less digits than its factorization.

11100101122120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48376417 (or 48376413 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 11100101122120 its reverse (2122110100111), we get a palindrome (13222211222231).

The spelling of 11100101122120 in words is "eleven trillion, one hundred billion, one hundred one million, one hundred twenty-two thousand, one hundred twenty".