10007668980097 has 2 divisors, whose sum is σ = 10007668980098. Its totient is φ = 10007668980096.

The previous prime is 10007668980077. The next prime is 10007668980103. The reversal of 10007668980097 is 79008986670001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8180194890816 + 1827474089281 = 2860104^2 + 1351841^2 .

It is a cyclic number.

It is not a de Polignac number, because 10007668980097 - 2²⁷ = 10007534762369 is a prime.

It is not a weakly prime, because it can be changed into another prime (10007668980077) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5003834490048 + 5003834490049.

It is an arithmetic number, because the mean of its divisors is an integer number (5003834490049).

Almost surely, 2^{10007668980097} is an apocalyptic number.

It is an amenable number.

10007668980097 is a deficient number, since it is larger than the sum of its proper divisors (1).

10007668980097 is an equidigital number, since it uses as much as digits as its factorization.

10007668980097 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 9144576, while the sum is 61.

The spelling of 10007668980097 in words is "ten trillion, seven billion, six hundred sixty-eight million, nine hundred eighty thousand, ninety-seven".