1066262116121 has 2 divisors, whose sum is σ = 1066262116122. Its totient is φ = 1066262116120.

The previous prime is 1066262116039. The next prime is 1066262116159. The reversal of 1066262116121 is 1216112626601.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 574580676121 + 491681440000 = 758011^2 + 701200^2 .

It is a cyclic number.

It is not a de Polignac number, because 1066262116121 - 2¹⁴ = 1066262099737 is a prime.

It is a super-2 number, since 2×1066262116121² (a number of 25 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 (1066262116021) 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, 533131058060 + 533131058061.

It is an arithmetic number, because the mean of its divisors is an integer number (533131058061).

Almost surely, 2^{1066262116121} is an apocalyptic number.

It is an amenable number.

1066262116121 is a deficient number, since it is larger than the sum of its proper divisors (1).

1066262116121 is an equidigital number, since it uses as much as digits as its factorization.

1066262116121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 10368, while the sum is 35.

The spelling of 1066262116121 in words is "one trillion, sixty-six billion, two hundred sixty-two million, one hundred sixteen thousand, one hundred twenty-one".