1066435102001 has 2 divisors, whose sum is σ = 1066435102002. Its totient is φ = 1066435102000.

The previous prime is 1066435101967. The next prime is 1066435102037. The reversal of 1066435102001 is 1002015346601.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 630602751025 + 435832350976 = 794105^2 + 660176^2 .

It is an emirp because it is prime and its reverse (1002015346601) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1066435102001 - 2¹⁸ = 1066434839857 is a prime.

It is a super-2 number, since 2×1066435102001² (a number of 25 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (1066437102001) 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, 533217551000 + 533217551001.

It is an arithmetic number, because the mean of its divisors is an integer number (533217551001).

Almost surely, 2^{1066435102001} is an apocalyptic number.

It is an amenable number.

1066435102001 is a deficient number, since it is larger than the sum of its proper divisors (1).

1066435102001 is an equidigital number, since it uses as much as digits as its factorization.

1066435102001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4320, while the sum is 29.

The spelling of 1066435102001 in words is "one trillion, sixty-six billion, four hundred thirty-five million, one hundred two thousand, one".