10066010566121 has 2 divisors, whose sum is σ = 10066010566122. Its totient is φ = 10066010566120.

The previous prime is 10066010566049. The next prime is 10066010566127. The reversal of 10066010566121 is 12166501066001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10039233825625 + 26776740496 = 3168475^2 + 163636^2 .

It is a cyclic number.

It is not a de Polignac number, because 10066010566121 - 2³⁰ = 10064936824297 is a prime.

It is a super-2 number, since 2×10066010566121² (a number of 27 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (10066010566127) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5033005283060 + 5033005283061.

It is an arithmetic number, because the mean of its divisors is an integer number (5033005283061).

Almost surely, 2^{10066010566121} is an apocalyptic number.

It is an amenable number.

10066010566121 is a deficient number, since it is larger than the sum of its proper divisors (1).

10066010566121 is an equidigital number, since it uses as much as digits as its factorization.

10066010566121 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 12960, while the sum is 35.

The spelling of 10066010566121 in words is "ten trillion, sixty-six billion, ten million, five hundred sixty-six thousand, one hundred twenty-one".