10097972081761 has 2 divisors, whose sum is σ = 10097972081762. Its totient is φ = 10097972081760.

The previous prime is 10097972081749. The next prime is 10097972081779. The reversal of 10097972081761 is 16718027979001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9016621667361 + 1081350414400 = 3002769^2 + 1039880^2 .

It is a cyclic number.

It is not a de Polignac number, because 10097972081761 - 2⁷ = 10097972081633 is a prime.

It is a super-2 number, since 2×10097972081761² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10097972081696 and 10097972081705.

It is not a weakly prime, because it can be changed into another prime (10097972081861) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5048986040880 + 5048986040881.

It is an arithmetic number, because the mean of its divisors is an integer number (5048986040881).

Almost surely, 2^{10097972081761} is an apocalyptic number.

It is an amenable number.

10097972081761 is a deficient number, since it is larger than the sum of its proper divisors (1).

10097972081761 is an equidigital number, since it uses as much as digits as its factorization.

10097972081761 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2667168, while the sum is 58.

The spelling of 10097972081761 in words is "ten trillion, ninety-seven billion, nine hundred seventy-two million, eighty-one thousand, seven hundred sixty-one".