102066661116097 has 2 divisors, whose sum is σ = 102066661116098. Its totient is φ = 102066661116096.

The previous prime is 102066661116059. The next prime is 102066661116107. The reversal of 102066661116097 is 790611166660201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 51895944685456 + 50170716430641 = 7203884^2 + 7083129^2 .

It is a cyclic number.

It is not a de Polignac number, because 102066661116097 - 2¹⁹ = 102066660591809 is a prime.

It is a super-2 number, since 2×102066661116097² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (102066661116697) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51033330558048 + 51033330558049.

It is an arithmetic number, because the mean of its divisors is an integer number (51033330558049).

Almost surely, 2^{102066661116097} is an apocalyptic number.

It is an amenable number.

102066661116097 is a deficient number, since it is larger than the sum of its proper divisors (1).

102066661116097 is an equidigital number, since it uses as much as digits as its factorization.

102066661116097 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 979776, while the sum is 52.

The spelling of 102066661116097 in words is "one hundred two trillion, sixty-six billion, six hundred sixty-one million, one hundred sixteen thousand, ninety-seven".