11101111122120 has 64 divisors (see below), whose sum is σ = 33310037376000. Its totient is φ = 2959700387328.

The previous prime is 11101111122011. The next prime is 11101111122313. The reversal of 11101111122120 is 2122111110111.

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 11101111122120.

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, 8712360 + ... + 9904919.

It is an arithmetic number, because the mean of its divisors is an integer number (520469334000).

Almost surely, 2^{11101111122120} is an apocalyptic number.

11101111122120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11101111122120 is an abundant number, since it is smaller than the sum of its proper divisors (22208926253880).

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

11101111122120 is a wasteful number, since it uses less digits than its factorization.

11101111122120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18622262 (or 18622258 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 15.

Adding to 11101111122120 its reverse (2122111110111), we get a palindrome (13223222232231).

The spelling of 11101111122120 in words is "eleven trillion, one hundred one billion, one hundred eleven million, one hundred twenty-two thousand, one hundred twenty".