1010097892417 has 2 divisors, whose sum is σ = 1010097892418. Its totient is φ = 1010097892416.

The previous prime is 1010097892361. The next prime is 1010097892457. The reversal of 1010097892417 is 7142987900101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 880667756721 + 129430135696 = 938439^2 + 359764^2 .

It is a cyclic number.

It is not a de Polignac number, because 1010097892417 - 2¹¹ = 1010097890369 is a prime.

It is a super-2 number, since 2×1010097892417² (a number of 25 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (1010097892457) 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, 505048946208 + 505048946209.

It is an arithmetic number, because the mean of its divisors is an integer number (505048946209).

Almost surely, 2^{1010097892417} is an apocalyptic number.

It is an amenable number.

1010097892417 is a deficient number, since it is larger than the sum of its proper divisors (1).

1010097892417 is an equidigital number, since it uses as much as digits as its factorization.

1010097892417 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 254016, while the sum is 49.

The spelling of 1010097892417 in words is "one trillion, ten billion, ninety-seven million, eight hundred ninety-two thousand, four hundred seventeen".