2012002001 has 2 divisors, whose sum is σ = 2012002002. Its totient is φ = 2012002000.

The previous prime is 2012001967. The next prime is 2012002007. The reversal of 2012002001 is 1002002102.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2011971025 + 30976 = 44855^2 + 176^2 .

It is a cyclic number.

It is not a de Polignac number, because 2012002001 - 2¹⁴ = 2011985617 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2012002001.

It is not a weakly prime, because it can be changed into another prime (2012002007) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1006001000 + 1006001001.

It is an arithmetic number, because the mean of its divisors is an integer number (1006001001).

Almost surely, 2^2012002001 is an apocalyptic number.

It is an amenable number.

2012002001 is a deficient number, since it is larger than the sum of its proper divisors (1).

2012002001 is an equidigital number, since it uses as much as digits as its factorization.

2012002001 is an evil number, because the sum of its binary digits is even.

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

The square root of 2012002001 is about 44855.3452890511. The cubic root of 2012002001 is about 1262.4362875537.

Adding to 2012002001 its reverse (1002002102), we get a palindrome (3014004103).

The spelling of 2012002001 in words is "two billion, twelve million, two thousand, one".