11100101110120 has 64 divisors (see below), whose sum is σ = 27246085655040. Its totient is φ = 4036343673600.

The previous prime is 11100101110051. The next prime is 11100101110123. The reversal of 11100101110120 is 2101110100111.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 11100101110097 and 11100101110106.

It is not an unprimeable number, because it can be changed into a prime (11100101110123) 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 15 ways as a sum of consecutive naturals, for example, 43226505 + ... + 43482535.

It is an arithmetic number, because the mean of its divisors is an integer number (425720088360).

Almost surely, 2^{11100101110120} is an apocalyptic number.

11100101110120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11100101110120 is an abundant number, since it is smaller than the sum of its proper divisors (16145984544920).

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

11100101110120 is a wasteful number, since it uses less digits than its factorization.

11100101110120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 354586 (or 354582 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 10.

Adding to 11100101110120 its reverse (2101110100111), we get a palindrome (13201211210231).

The spelling of 11100101110120 in words is "eleven trillion, one hundred billion, one hundred one million, one hundred ten thousand, one hundred twenty".