10011002257 has 2 divisors, whose sum is σ = 10011002258. Its totient is φ = 10011002256.

The previous prime is 10011002191. The next prime is 10011002263. The reversal of 10011002257 is 75220011001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7409594241 + 2601408016 = 86079^2 + 51004^2 .

It is an emirp because it is prime and its reverse (75220011001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10011002257 - 2²⁷ = 9876784529 is a prime.

It is not a weakly prime, because it can be changed into another prime (10011002297) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5005501128 + 5005501129.

It is an arithmetic number, because the mean of its divisors is an integer number (5005501129).

Almost surely, 2^10011002257 is an apocalyptic number.

It is an amenable number.

10011002257 is a deficient number, since it is larger than the sum of its proper divisors (1).

10011002257 is an equidigital number, since it uses as much as digits as its factorization.

10011002257 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 140, while the sum is 19.

Adding to 10011002257 its reverse (75220011001), we get a palindrome (85231013258).

The spelling of 10011002257 in words is "ten billion, eleven million, two thousand, two hundred fifty-seven".