10120212100961 has 2 divisors, whose sum is σ = 10120212100962. Its totient is φ = 10120212100960.

The previous prime is 10120212100931. The next prime is 10120212101017. The reversal of 10120212100961 is 16900121202101.

10120212100961 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9824814415936 + 295397685025 = 3134456^2 + 543505^2 .

It is a cyclic number.

It is not a de Polignac number, because 10120212100961 - 2¹⁸ = 10120211838817 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10120212100961.

It is not a weakly prime, because it can be changed into another prime (10120212100931) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5060106050480 + 5060106050481.

It is an arithmetic number, because the mean of its divisors is an integer number (5060106050481).

Almost surely, 2^{10120212100961} is an apocalyptic number.

It is an amenable number.

10120212100961 is a deficient number, since it is larger than the sum of its proper divisors (1).

10120212100961 is an equidigital number, since it uses as much as digits as its factorization.

10120212100961 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 432, while the sum is 26.

The spelling of 10120212100961 in words is "ten trillion, one hundred twenty billion, two hundred twelve million, one hundred thousand, nine hundred sixty-one".