2002002001 has 2 divisors, whose sum is σ = 2002002002. Its totient is φ = 2002002000.

The previous prime is 2002001999. The next prime is 2002002007. The reversal of 2002002001 is 1002002002.

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., 1862785600 + 139216401 = 43160^2 + 11799^2 .

It is a cyclic number.

It is not a de Polignac number, because 2002002001 - 2¹ = 2002001999 is a prime.

Together with 2002001999, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (2002002007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1001001000 + 1001001001.

It is an arithmetic number, because the mean of its divisors is an integer number (1001001001).

Almost surely, 2^2002002001 is an apocalyptic number.

It is an amenable number.

2002002001 is a deficient number, since it is larger than the sum of its proper divisors (1).

2002002001 is an equidigital number, since it uses as much as digits as its factorization.

2002002001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8, while the sum is 7.

The square root of 2002002001 is about 44743.7370030712. The cubic root of 2002002001 is about 1260.3413035683.

Adding to 2002002001 its reverse (1002002002), we get a palindrome (3004004003).

Subtracting from 2002002001 its reverse (1002002002), we obtain a palindrome (999999999).

The spelling of 2002002001 in words is "two billion, two million, two thousand, one".