120210101012021 has 16 divisors (see below), whose sum is σ = 121592689960176. Its totient is φ = 118831310400000.

The previous prime is 120210101011991. The next prime is 120210101012051.

120210101012021 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (120210101011991) and next prime (120210101012051).

It can be written as a sum of positive squares in 8 ways, for example, as 85894229911396 + 34315871100625 = 9267914^2 + 5857975^2 .

It is a cyclic number.

It is not a de Polignac number, because 120210101012021 - 2⁴² = 115812054500917 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 120210101011987 and 120210101012005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120210101012051) 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 15 ways as a sum of consecutive naturals, for example, 1060174751 + ... + 1060288131.

It is an arithmetic number, because the mean of its divisors is an integer number (7599543122511).

Almost surely, 2^{120210101012021} is an apocalyptic number.

It is an amenable number.

120210101012021 is a deficient number, since it is larger than the sum of its proper divisors (1382588948155).

120210101012021 is a wasteful number, since it uses less digits than its factorization.

120210101012021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130024.

The product of its (nonzero) digits is 16, while the sum is 14.

It can be divided in two parts, 12021010 and 1012021, that added together give a palindrome (13033031).

The spelling of 120210101012021 in words is "one hundred twenty trillion, two hundred ten billion, one hundred one million, twelve thousand, twenty-one".