1001000002073 has 2 divisors, whose sum is σ = 1001000002074. Its totient is φ = 1001000002072.

The previous prime is 1001000001949. The next prime is 1001000002091. The reversal of 1001000002073 is 3702000001001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 634361275024 + 366638727049 = 796468^2 + 605507^2 .

It is a cyclic number.

It is not a de Polignac number, because 1001000002073 - 2²⁸ = 1000731566617 is a prime.

It is not a weakly prime, because it can be changed into another prime (1001000002573) 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, 500500001036 + 500500001037.

It is an arithmetic number, because the mean of its divisors is an integer number (500500001037).

Almost surely, 2^{1001000002073} is an apocalyptic number.

It is an amenable number.

1001000002073 is a deficient number, since it is larger than the sum of its proper divisors (1).

1001000002073 is an equidigital number, since it uses as much as digits as its factorization.

1001000002073 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 42, while the sum is 14.

Adding to 1001000002073 its reverse (3702000001001), we get a palindrome (4703000003074).

The spelling of 1001000002073 in words is "one trillion, one billion, two thousand, seventy-three".