101573820742717 has 2 divisors, whose sum is σ = 101573820742718. Its totient is φ = 101573820742716.

The previous prime is 101573820742579. The next prime is 101573820742747. The reversal of 101573820742717 is 717247028375101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 55579843025721 + 45993977716996 = 7455189^2 + 6781886^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101573820742717 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101573820742747) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50786910371358 + 50786910371359.

It is an arithmetic number, because the mean of its divisors is an integer number (50786910371359).

Almost surely, 2^{101573820742717} is an apocalyptic number.

It is an amenable number.

101573820742717 is a deficient number, since it is larger than the sum of its proper divisors (1).

101573820742717 is an equidigital number, since it uses as much as digits as its factorization.

101573820742717 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 4609920, while the sum is 55.

The spelling of 101573820742717 in words is "one hundred one trillion, five hundred seventy-three billion, eight hundred twenty million, seven hundred forty-two thousand, seven hundred seventeen".