10201002002089 has 2 divisors, whose sum is σ = 10201002002090. Its totient is φ = 10201002002088.

The previous prime is 10201002002077. The next prime is 10201002002137. The reversal of 10201002002089 is 98020020010201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 10151022928489 + 49979073600 = 3186067^2 + 223560^2 .

It is a cyclic number.

It is not a de Polignac number, because 10201002002089 - 2⁷ = 10201002001961 is a prime.

It is not a weakly prime, because it can be changed into another prime (10201002402089) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5100501001044 + 5100501001045.

It is an arithmetic number, because the mean of its divisors is an integer number (5100501001045).

Almost surely, 2^{10201002002089} is an apocalyptic number.

It is an amenable number.

10201002002089 is a deficient number, since it is larger than the sum of its proper divisors (1).

10201002002089 is an equidigital number, since it uses as much as digits as its factorization.

10201002002089 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 576, while the sum is 25.

The spelling of 10201002002089 in words is "ten trillion, two hundred one billion, two million, two thousand, eighty-nine".