10210011000257 has 2 divisors, whose sum is σ = 10210011000258. Its totient is φ = 10210011000256.

The previous prime is 10210011000199. The next prime is 10210011000281. The reversal of 10210011000257 is 75200011001201.

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., 7295919601216 + 2914091399041 = 2701096^2 + 1707071^2 .

It is a cyclic number.

It is not a de Polignac number, because 10210011000257 - 2³⁶ = 10141291523521 is a prime.

It is not a weakly prime, because it can be changed into another prime (10210011008257) 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, 5105005500128 + 5105005500129.

It is an arithmetic number, because the mean of its divisors is an integer number (5105005500129).

Almost surely, 2^{10210011000257} is an apocalyptic number.

It is an amenable number.

10210011000257 is a deficient number, since it is larger than the sum of its proper divisors (1).

10210011000257 is an equidigital number, since it uses as much as digits as its factorization.

10210011000257 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 140, while the sum is 20.

Adding to 10210011000257 its reverse (75200011001201), we get a palindrome (85410022001458).

The spelling of 10210011000257 in words is "ten trillion, two hundred ten billion, eleven million, two hundred fifty-seven", and thus it is an aban number.