122102121120 has 96 divisors (see below), whose sum is σ = 439567648128. Its totient is φ = 27909055488.

The previous prime is 122102121067. The next prime is 122102121157. The reversal of 122102121120 is 21121201221.

It is a tau number, because it is divible by the number of its divisors (96).

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 122102121120.

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 15 ways as a sum of consecutive naturals, for example, 18166599 + ... + 18173318.

It is an arithmetic number, because the mean of its divisors is an integer number (4578829668).

Almost surely, 2^122102121120 is an apocalyptic number.

122102121120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122102121120 is an abundant number, since it is smaller than the sum of its proper divisors (317465527008).

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

122102121120 is a wasteful number, since it uses less digits than its factorization.

122102121120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36339942 (or 36339934 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 122102121120 its reverse (21121201221), we get a palindrome (143223322341).

The spelling of 122102121120 in words is "one hundred twenty-two billion, one hundred two million, one hundred twenty-one thousand, one hundred twenty".