122120100120221 has 48 divisors (see below), whose sum is σ = 145193953063536. Its totient is φ = 102376267628544.

The previous prime is 122120100120209. The next prime is 122120100120283. The reversal of 122120100120221 is 122021001021221.

It can be written as a sum of positive squares in 8 ways, for example, as 3026225556025 + 119093874564196 = 1739605^2 + 10913014^2 .

It is not a de Polignac number, because 122120100120221 - 2³⁰ = 122119026378397 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 122120100120221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122120100170221) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7331449925 + ... + 7331466581.

It is an arithmetic number, because the mean of its divisors is an integer number (3024874022157).

Almost surely, 2^{122120100120221} is an apocalyptic number.

It is an amenable number.

122120100120221 is a deficient number, since it is larger than the sum of its proper divisors (23073852943315).

122120100120221 is a wasteful number, since it uses less digits than its factorization.

122120100120221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25438 (or 25431 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 122120100120221 its reverse (122021001021221), we get a palindrome (244141101141442).

The spelling of 122120100120221 in words is "one hundred twenty-two trillion, one hundred twenty billion, one hundred million, one hundred twenty thousand, two hundred twenty-one".