10100997906817 has 2 divisors, whose sum is σ = 10100997906818. Its totient is φ = 10100997906816.

The previous prime is 10100997906793. The next prime is 10100997906907. The reversal of 10100997906817 is 71860979900101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 6712291274481 + 3388706632336 = 2590809^2 + 1840844^2 .

It is a cyclic number.

It is not a de Polignac number, because 10100997906817 - 2³¹ = 10098850423169 is a prime.

It is not a weakly prime, because it can be changed into another prime (10100997306817) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5050498953408 + 5050498953409.

It is an arithmetic number, because the mean of its divisors is an integer number (5050498953409).

Almost surely, 2^{10100997906817} is an apocalyptic number.

It is an amenable number.

10100997906817 is a deficient number, since it is larger than the sum of its proper divisors (1).

10100997906817 is an equidigital number, since it uses as much as digits as its factorization.

10100997906817 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1714608, while the sum is 58.

The spelling of 10100997906817 in words is "ten trillion, one hundred billion, nine hundred ninety-seven million, nine hundred six thousand, eight hundred seventeen".