100635325244257 has 2 divisors, whose sum is σ = 100635325244258. Its totient is φ = 100635325244256.

The previous prime is 100635325244191. The next prime is 100635325244263. The reversal of 100635325244257 is 752442523536001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 62717514074721 + 37917811169536 = 7919439^2 + 6157744^2 .

It is a cyclic number.

It is not a de Polignac number, because 100635325244257 - 2¹¹ = 100635325242209 is a prime.

It is a super-2 number, since 2×100635325244257² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 100635325244257.

It is not a weakly prime, because it can be changed into another prime (100635325244057) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50317662622128 + 50317662622129.

It is an arithmetic number, because the mean of its divisors is an integer number (50317662622129).

Almost surely, 2^{100635325244257} is an apocalyptic number.

It is an amenable number.

100635325244257 is a deficient number, since it is larger than the sum of its proper divisors (1).

100635325244257 is an equidigital number, since it uses as much as digits as its factorization.

100635325244257 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6048000, while the sum is 49.

The spelling of 100635325244257 in words is "one hundred trillion, six hundred thirty-five billion, three hundred twenty-five million, two hundred forty-four thousand, two hundred fifty-seven".