201002002001 has 2 divisors, whose sum is σ = 201002002002. Its totient is φ = 201002002000.

The previous prime is 201002001929. The next prime is 201002002037. The reversal of 201002002001 is 100200200102.

201002002001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 200811534400 + 190467601 = 448120^2 + 13801^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-201002002001 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 201002002001.

It is not a weakly prime, because it can be changed into another prime (201002002501) 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, 100501001000 + 100501001001.

It is an arithmetic number, because the mean of its divisors is an integer number (100501001001).

Almost surely, 2^201002002001 is an apocalyptic number.

It is an amenable number.

201002002001 is a deficient number, since it is larger than the sum of its proper divisors (1).

201002002001 is an equidigital number, since it uses as much as digits as its factorization.

201002002001 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 8.

Adding to 201002002001 its reverse (100200200102), we get a palindrome (301202202103).

The spelling of 201002002001 in words is "two hundred one billion, two million, two thousand, one".