120202202202021 has 12 divisors (see below), whose sum is σ = 174370576587948. Its totient is φ = 79790875280064.

The previous prime is 120202202201947. The next prime is 120202202202023.

120202202202021 is a `hidden beast` number, since 1 + 2 + 0 + 20 + 220 + 220 + 202 + 1 = 666.

120202202202021 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 27174441093921 + 93027761108100 = 5212911^2 + 9645090^2 .

It is not a de Polignac number, because 120202202202021 - 2¹⁸ = 120202201939877 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 120202202201985 and 120202202202003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120202202202023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 28660513450 + ... + 28660517643.

It is an arithmetic number, because the mean of its divisors is an integer number (14530881382329).

Almost surely, 2^{120202202202021} is an apocalyptic number.

It is an amenable number.

120202202202021 is a deficient number, since it is larger than the sum of its proper divisors (54168374385927).

120202202202021 is a wasteful number, since it uses less digits than its factorization.

120202202202021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57321031332 (or 57321031329 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

It can be divided in two parts, 12020220 and 2202021, that added together give a palindrome (14222241).

The spelling of 120202202202021 in words is "one hundred twenty trillion, two hundred two billion, two hundred two million, two hundred two thousand, twenty-one".