10102200938857 has 2 divisors, whose sum is σ = 10102200938858. Its totient is φ = 10102200938856.

The previous prime is 10102200938821. The next prime is 10102200938873. The reversal of 10102200938857 is 75883900220101.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9934530344281 + 167670594576 = 3151909^2 + 409476^2 .

It is a cyclic number.

It is not a de Polignac number, because 10102200938857 - 2³⁵ = 10067841200489 is a prime.

It is not a weakly prime, because it can be changed into another prime (10102200948857) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5051100469428 + 5051100469429.

It is an arithmetic number, because the mean of its divisors is an integer number (5051100469429).

Almost surely, 2^{10102200938857} is an apocalyptic number.

It is an amenable number.

10102200938857 is a deficient number, since it is larger than the sum of its proper divisors (1).

10102200938857 is an equidigital number, since it uses as much as digits as its factorization.

10102200938857 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 241920, while the sum is 46.

The spelling of 10102200938857 in words is "ten trillion, one hundred two billion, two hundred million, nine hundred thirty-eight thousand, eight hundred fifty-seven".