10201206825697 has 2 divisors, whose sum is σ = 10201206825698. Its totient is φ = 10201206825696.

The previous prime is 10201206825671. The next prime is 10201206825701. The reversal of 10201206825697 is 79652860210201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7855037603856 + 2346169221841 = 2802684^2 + 1531721^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10201206825697 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10201206825697.

It is not a weakly prime, because it can be changed into another prime (10201206825617) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5100603412848 + 5100603412849.

It is an arithmetic number, because the mean of its divisors is an integer number (5100603412849).

Almost surely, 2^{10201206825697} is an apocalyptic number.

It is an amenable number.

10201206825697 is a deficient number, since it is larger than the sum of its proper divisors (1).

10201206825697 is an equidigital number, since it uses as much as digits as its factorization.

10201206825697 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 725760, while the sum is 49.

The spelling of 10201206825697 in words is "ten trillion, two hundred one billion, two hundred six million, eight hundred twenty-five thousand, six hundred ninety-seven".