10100091712393 has 2 divisors, whose sum is σ = 10100091712394. Its totient is φ = 10100091712392.

The previous prime is 10100091712367. The next prime is 10100091712471. The reversal of 10100091712393 is 39321719000101.

10100091712393 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 7123731817024 + 2976359895369 = 2669032^2 + 1725213^2 .

It is a cyclic number.

It is not a de Polignac number, because 10100091712393 - 2²¹ = 10100089615241 is a prime.

It is not a weakly prime, because it can be changed into another prime (10100091712993) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5050045856196 + 5050045856197.

It is an arithmetic number, because the mean of its divisors is an integer number (5050045856197).

Almost surely, 2^{10100091712393} is an apocalyptic number.

It is an amenable number.

10100091712393 is a deficient number, since it is larger than the sum of its proper divisors (1).

10100091712393 is an equidigital number, since it uses as much as digits as its factorization.

10100091712393 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 10206, while the sum is 37.

The spelling of 10100091712393 in words is "ten trillion, one hundred billion, ninety-one million, seven hundred twelve thousand, three hundred ninety-three".