10100034257 has 2 divisors, whose sum is σ = 10100034258. Its totient is φ = 10100034256.

The previous prime is 10100034211. The next prime is 10100034277. The reversal of 10100034257 is 75243000101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6996318736 + 3103715521 = 83644^2 + 55711^2 .

It is a cyclic number.

It is not a de Polignac number, because 10100034257 - 2⁸ = 10100034001 is a prime.

It is not a weakly prime, because it can be changed into another prime (10100034277) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5050017128 + 5050017129.

It is an arithmetic number, because the mean of its divisors is an integer number (5050017129).

Almost surely, 2^10100034257 is an apocalyptic number.

It is an amenable number.

10100034257 is a deficient number, since it is larger than the sum of its proper divisors (1).

10100034257 is an equidigital number, since it uses as much as digits as its factorization.

10100034257 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 840, while the sum is 23.

Adding to 10100034257 its reverse (75243000101), we get a palindrome (85343034358).

The spelling of 10100034257 in words is "ten billion, one hundred million, thirty-four thousand, two hundred fifty-seven".