120121202120121 has 24 divisors (see below), whose sum is σ = 174398005450760. Its totient is φ = 79670745158400.

The previous prime is 120121202120111. The next prime is 120121202120123. The reversal of 120121202120121 is 121021202121021.

120121202120121 is a `hidden beast` number, since 1 + 201 + 21 + 202 + 120 + 121 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 74509076114496 + 45612126005625 = 8631864^2 + 6753675^2 .

It is not a de Polignac number, because 120121202120121 - 2³⁰ = 120120128378297 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 120121202120094 and 120121202120103.

It is not an unprimeable number, because it can be changed into a prime (120121202120123) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19337590 + ... + 24782751.

Almost surely, 2^{120121202120121} is an apocalyptic number.

It is an amenable number.

120121202120121 is a deficient number, since it is larger than the sum of its proper divisors (54276803330639).

120121202120121 is a wasteful number, since it uses less digits than its factorization.

120121202120121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44121897 (or 44121894 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 120121202120121 its reverse (121021202121021), we get a palindrome (241142404241142).

The spelling of 120121202120121 in words is "one hundred twenty trillion, one hundred twenty-one billion, two hundred two million, one hundred twenty thousand, one hundred twenty-one".