1010100993617 has 2 divisors, whose sum is σ = 1010100993618. Its totient is φ = 1010100993616.

The previous prime is 1010100993607. The next prime is 1010100993631. The reversal of 1010100993617 is 7163990010101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 856496571841 + 153604421776 = 925471^2 + 391924^2 .

It is a cyclic number.

It is not a de Polignac number, because 1010100993617 - 2²⁶ = 1010033884753 is a prime.

It is not a weakly prime, because it can be changed into another prime (1010100993607) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 505050496808 + 505050496809.

It is an arithmetic number, because the mean of its divisors is an integer number (505050496809).

Almost surely, 2^{1010100993617} is an apocalyptic number.

It is an amenable number.

1010100993617 is a deficient number, since it is larger than the sum of its proper divisors (1).

1010100993617 is an equidigital number, since it uses as much as digits as its factorization.

1010100993617 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 10206, while the sum is 38.

The spelling of 1010100993617 in words is "one trillion, ten billion, one hundred million, nine hundred ninety-three thousand, six hundred seventeen".