10102811576257 has 2 divisors, whose sum is σ = 10102811576258. Its totient is φ = 10102811576256.

The previous prime is 10102811576239. The next prime is 10102811576261. The reversal of 10102811576257 is 75267511820101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9301578922801 + 801232653456 = 3049849^2 + 895116^2 .

It is an emirp because it is prime and its reverse (75267511820101) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10102811576257 is a prime.

It is a super-2 number, since 2×10102811576257² (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (10102811546257) 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 as a sum of consecutive naturals, namely, 5051405788128 + 5051405788129.

It is an arithmetic number, because the mean of its divisors is an integer number (5051405788129).

Almost surely, 2^{10102811576257} is an apocalyptic number.

It is an amenable number.

10102811576257 is a deficient number, since it is larger than the sum of its proper divisors (1).

10102811576257 is an equidigital number, since it uses as much as digits as its factorization.

10102811576257 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 235200, while the sum is 46.

The spelling of 10102811576257 in words is "ten trillion, one hundred two billion, eight hundred eleven million, five hundred seventy-six thousand, two hundred fifty-seven".