10101001090717 has 2 divisors, whose sum is σ = 10101001090718. Its totient is φ = 10101001090716.

The previous prime is 10101001090637. The next prime is 10101001090727. The reversal of 10101001090717 is 71709010010101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9452636336196 + 648364754521 = 3074514^2 + 805211^2 .

It is a cyclic number.

It is not a de Polignac number, because 10101001090717 - 2²³ = 10100992702109 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10101001090727) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5050500545358 + 5050500545359.

It is an arithmetic number, because the mean of its divisors is an integer number (5050500545359).

Almost surely, 2^{10101001090717} is an apocalyptic number.

It is an amenable number.

10101001090717 is a deficient number, since it is larger than the sum of its proper divisors (1).

10101001090717 is an equidigital number, since it uses as much as digits as its factorization.

10101001090717 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 441, while the sum is 28.

The spelling of 10101001090717 in words is "ten trillion, one hundred one billion, one million, ninety thousand, seven hundred seventeen".