120100000001021 has 8 divisors (see below), whose sum is σ = 127170649377720. Its totient is φ = 113030011012608.

The previous prime is 120100000000969. The next prime is 120100000001029.

120100000001021 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 98155366060921 + 21944633940100 = 9907339^2 + 4684510^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 120100000001021 - 2¹⁴ = 120099999984637 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120100000001029) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 164722616 + ... + 165450113.

It is an arithmetic number, because the mean of its divisors is an integer number (15896331172215).

Almost surely, 2^{120100000001021} is an apocalyptic number.

It is an amenable number.

120100000001021 is a deficient number, since it is larger than the sum of its proper divisors (7070649376699).

120100000001021 is a wasteful number, since it uses less digits than its factorization.

120100000001021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 330194143.

The product of its (nonzero) digits is 4, while the sum is 8.

It can be divided in two parts, 12010000000 and 1021, that added together give a palindrome (12010001021).

The spelling of 120100000001021 in words is "one hundred twenty trillion, one hundred billion, one thousand, twenty-one".