122100120102120 has 256 divisors, whose sum is σ = 368541332386560. Its totient is φ = 32361537871872.

The previous prime is 122100120102113. The next prime is 122100120102143. The reversal of 122100120102120 is 21201021001221.

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 122100120102120.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 29831446794 + ... + 29831450886.

It is an arithmetic number, because the mean of its divisors is an integer number (1439614579635).

Almost surely, 2^{122100120102120} is an apocalyptic number.

122100120102120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122100120102120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184270666193280).

122100120102120 is an abundant number, since it is smaller than the sum of its proper divisors (246441212284440).

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

122100120102120 is a wasteful number, since it uses less digits than its factorization.

122100120102120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6436 (or 6432 counting only the distinct ones).

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

Adding to 122100120102120 its reverse (21201021001221), we get a palindrome (143301141103341).

The spelling of 122100120102120 in words is "one hundred twenty-two trillion, one hundred billion, one hundred twenty million, one hundred two thousand, one hundred twenty".