120122020221021 has 36 divisors (see below), whose sum is σ = 217363655648412. Its totient is φ = 63361065608064.

The previous prime is 120122020221017. The next prime is 120122020221037.

It is a happy number.

120122020221021 is a `hidden beast` number, since 1 + 201 + 220 + 2 + 0 + 221 + 0 + 21 = 666.

120122020221021 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 58441652141796 + 61680368079225 = 7644714^2 + 7853685^2 .

It is not a de Polignac number, because 120122020221021 - 2² = 120122020221017 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 120122020220985 and 120122020221003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120122020221061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 10476360936 + ... + 10476372401.

It is an arithmetic number, because the mean of its divisors is an integer number (6037879323567).

Almost surely, 2^{120122020221021} is an apocalyptic number.

It is an amenable number.

120122020221021 is a deficient number, since it is larger than the sum of its proper divisors (97241635427391).

120122020221021 is a wasteful number, since it uses less digits than its factorization.

120122020221021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20952733370 (or 20952733360 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The spelling of 120122020221021 in words is "one hundred twenty trillion, one hundred twenty-two billion, twenty million, two hundred twenty-one thousand, twenty-one".