101893016917 has 2 divisors, whose sum is σ = 101893016918. Its totient is φ = 101893016916.

The previous prime is 101893016891. The next prime is 101893016923. The reversal of 101893016917 is 719610398101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 98398906596 + 3494110321 = 313686^2 + 59111^2 .

It is a cyclic number.

It is not a de Polignac number, because 101893016917 - 2⁷ = 101893016789 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101893011917) 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, 50946508458 + 50946508459.

It is an arithmetic number, because the mean of its divisors is an integer number (50946508459).

Almost surely, 2^101893016917 is an apocalyptic number.

It is an amenable number.

101893016917 is a deficient number, since it is larger than the sum of its proper divisors (1).

101893016917 is an equidigital number, since it uses as much as digits as its factorization.

101893016917 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 81648, while the sum is 46.

The spelling of 101893016917 in words is "one hundred one billion, eight hundred ninety-three million, sixteen thousand, nine hundred seventeen".