10101675935249 has 2 divisors, whose sum is σ = 10101675935250. Its totient is φ = 10101675935248.

The previous prime is 10101675935093. The next prime is 10101675935261. The reversal of 10101675935249 is 94253957610101.

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., 7395914128849 + 2705761806400 = 2719543^2 + 1644920^2 .

It is a cyclic number.

It is not a de Polignac number, because 10101675935249 - 2²⁰ = 10101674886673 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10101675935249.

It is not a weakly prime, because it can be changed into another prime (10101675935269) 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, 5050837967624 + 5050837967625.

It is an arithmetic number, because the mean of its divisors is an integer number (5050837967625).

Almost surely, 2^{10101675935249} is an apocalyptic number.

It is an amenable number.

10101675935249 is a deficient number, since it is larger than the sum of its proper divisors (1).

10101675935249 is an equidigital number, since it uses as much as digits as its factorization.

10101675935249 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2041200, while the sum is 53.

The spelling of 10101675935249 in words is "ten trillion, one hundred one billion, six hundred seventy-five million, nine hundred thirty-five thousand, two hundred forty-nine".