101008512817 has 2 divisors, whose sum is σ = 101008512818. Its totient is φ = 101008512816.

The previous prime is 101008512743. The next prime is 101008512863. The reversal of 101008512817 is 718215800101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 66483528336 + 34524984481 = 257844^2 + 185809^2 .

It is a cyclic number.

It is not a de Polignac number, because 101008512817 - 2¹¹ = 101008510769 is a prime.

It is not a weakly prime, because it can be changed into another prime (101008510817) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50504256408 + 50504256409.

It is an arithmetic number, because the mean of its divisors is an integer number (50504256409).

Almost surely, 2^101008512817 is an apocalyptic number.

It is an amenable number.

101008512817 is a deficient number, since it is larger than the sum of its proper divisors (1).

101008512817 is an equidigital number, since it uses as much as digits as its factorization.

101008512817 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 4480, while the sum is 34.

The spelling of 101008512817 in words is "one hundred one billion, eight million, five hundred twelve thousand, eight hundred seventeen".