2000002000001 has 2 divisors, whose sum is σ = 2000002000002. Its totient is φ = 2000002000000.

The previous prime is 2000001999979. The next prime is 2000002000063. The reversal of 2000002000001 is 1000002000002.

2000002000001 = 1000000² + 1000001².

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1000002000001 + 1000000000000 = 1000001^2 + 1000000^2 .

It is a cyclic number.

It is not a de Polignac number, because 2000002000001 - 2⁶ = 2000001999937 is a prime.

It is not a weakly prime, because it can be changed into another prime (2000002000301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1000001000000 + 1000001000001.

It is an arithmetic number, because the mean of its divisors is an integer number (1000001000001).

Almost surely, 2^{2000002000001} is an apocalyptic number.

2000002000001 is the 1000001-st centered square number.

It is an amenable number.

2000002000001 is a deficient number, since it is larger than the sum of its proper divisors (1).

2000002000001 is an equidigital number, since it uses as much as digits as its factorization.

2000002000001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4, while the sum is 5.

Adding to 2000002000001 its reverse (1000002000002), we get a palindrome (3000004000003).

Subtracting from 2000002000001 its reverse (1000002000002), we obtain a palindrome (999999999999).

The spelling of 2000002000001 in words is "two trillion, two million, one", and thus it is an aban number and an uban number.