10100100009917 has 2 divisors, whose sum is σ = 10100100009918. Its totient is φ = 10100100009916.

The previous prime is 10100100009913. The next prime is 10100100009947. The reversal of 10100100009917 is 71990000100101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 10082777764921 + 17322244996 = 3175339^2 + 131614^2 .

It is a cyclic number.

It is not a de Polignac number, because 10100100009917 - 2² = 10100100009913 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10100100009917.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10100100009911) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5050050004958 + 5050050004959.

It is an arithmetic number, because the mean of its divisors is an integer number (5050050004959).

Almost surely, 2^{10100100009917} is an apocalyptic number.

It is an amenable number.

10100100009917 is a deficient number, since it is larger than the sum of its proper divisors (1).

10100100009917 is an equidigital number, since it uses as much as digits as its factorization.

10100100009917 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 567, while the sum is 29.

The spelling of 10100100009917 in words is "ten trillion, one hundred billion, one hundred million, nine thousand, nine hundred seventeen".