120100020001021 has 16 divisors (see below), whose sum is σ = 122558933009520. Its totient is φ = 117666393292800.

The previous prime is 120100020000967. The next prime is 120100020001037.

120100020001021 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 8 ways, for example, as 4945015140121 + 115155004860900 = 2223739^2 + 10731030^2 .

It is a cyclic number.

It is not a de Polignac number, because 120100020001021 - 2¹³ = 120100019992829 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 120100020000989 and 120100020001007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120100020001051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 61116345 + ... + 63050833.

It is an arithmetic number, because the mean of its divisors is an integer number (7659933313095).

Almost surely, 2^{120100020001021} is an apocalyptic number.

It is an amenable number.

120100020001021 is a deficient number, since it is larger than the sum of its proper divisors (2458913008499).

120100020001021 is a wasteful number, since it uses less digits than its factorization.

120100020001021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1941024.

The product of its (nonzero) digits is 8, while the sum is 10.

The spelling of 120100020001021 in words is "one hundred twenty trillion, one hundred billion, twenty million, one thousand, twenty-one".