10101091722413 has 2 divisors, whose sum is σ = 10101091722414. Its totient is φ = 10101091722412.

The previous prime is 10101091722383. The next prime is 10101091722503. The reversal of 10101091722413 is 31422719010101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 7105412697604 + 2995679024809 = 2665598^2 + 1730803^2 .

It is a cyclic number.

It is not a de Polignac number, because 10101091722413 - 2³² = 10096796755117 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10101091722413.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10101091722313) 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, 5050545861206 + 5050545861207.

It is an arithmetic number, because the mean of its divisors is an integer number (5050545861207).

Almost surely, 2^{10101091722413} is an apocalyptic number.

It is an amenable number.

10101091722413 is a deficient number, since it is larger than the sum of its proper divisors (1).

10101091722413 is an equidigital number, since it uses as much as digits as its factorization.

10101091722413 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3024, while the sum is 32.

The spelling of 10101091722413 in words is "ten trillion, one hundred one billion, ninety-one million, seven hundred twenty-two thousand, four hundred thirteen".