10002271847257 has 2 divisors, whose sum is σ = 10002271847258. Its totient is φ = 10002271847256.

The previous prime is 10002271847167. The next prime is 10002271847261. The reversal of 10002271847257 is 75274817220001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7178026905856 + 2824244941401 = 2679184^2 + 1680549^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10002271847257 is a prime.

It is not a weakly prime, because it can be changed into another prime (10002271841257) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5001135923628 + 5001135923629.

It is an arithmetic number, because the mean of its divisors is an integer number (5001135923629).

Almost surely, 2^{10002271847257} is an apocalyptic number.

It is an amenable number.

10002271847257 is a deficient number, since it is larger than the sum of its proper divisors (1).

10002271847257 is an equidigital number, since it uses as much as digits as its factorization.

10002271847257 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 439040, while the sum is 46.

The spelling of 10002271847257 in words is "ten trillion, two billion, two hundred seventy-one million, eight hundred forty-seven thousand, two hundred fifty-seven".