120121121121021 has 24 divisors (see below), whose sum is σ = 177168944966520. Its totient is φ = 78407227086336.

The previous prime is 120121121120993. The next prime is 120121121121031.

It is a happy number.

120121121121021 is a `hidden beast` number, since 1 + 201 + 21 + 1 + 211 + 210 + 21 = 666.

120121121121021 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 26770162172121 + 93350958948900 = 5173989^2 + 9661830^2 .

It is not a de Polignac number, because 120121121121021 - 2¹⁴ = 120121121104637 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 120121121120985 and 120121121121003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120121121121031) 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, 667182826 + ... + 667362843.

It is an arithmetic number, because the mean of its divisors is an integer number (7382039373605).

Almost surely, 2^{120121121121021} is an apocalyptic number.

It is an amenable number.

120121121121021 is a deficient number, since it is larger than the sum of its proper divisors (57047823845499).

120121121121021 is a wasteful number, since it uses less digits than its factorization.

120121121121021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1334545885 (or 1334545882 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

The spelling of 120121121121021 in words is "one hundred twenty trillion, one hundred twenty-one billion, one hundred twenty-one million, one hundred twenty-one thousand, twenty-one".