11101122022120 has 64 divisors (see below), whose sum is σ = 27339837794640. Its totient is φ = 4031681126400.

The previous prime is 11101122022079. The next prime is 11101122022153. The reversal of 11101122022120 is 2122022110111.

11101122022120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 2780816386084 + 8320305636036 = 1667578^2 + 2884494^2 .

It is a junction number, because it is equal to n+sod(n) for n = 11101122022094 and 11101122022103.

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, 174954441 + ... + 175017880.

Almost surely, 2^{11101122022120} is an apocalyptic number.

11101122022120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11101122022120 is an abundant number, since it is smaller than the sum of its proper divisors (16238715772520).

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

11101122022120 is a wasteful number, since it uses less digits than its factorization.

11101122022120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 349972406 (or 349972402 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 11101122022120 its reverse (2122022110111), we get a palindrome (13223144132231).

The spelling of 11101122022120 in words is "eleven trillion, one hundred one billion, one hundred twenty-two million, twenty-two thousand, one hundred twenty".