2002000000201 has 4 divisors (see below), whose sum is σ = 2029424657812. Its totient is φ = 1974575342592.

The previous prime is 2002000000199. The next prime is 2002000000213. The reversal of 2002000000201 is 1020000002002.

It is a happy number.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 1300888519225 + 701111480976 = 1140565^2 + 837324^2 .

It is a cyclic number.

It is not a de Polignac number, because 2002000000201 - 2¹ = 2002000000199 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2002000000271) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 13712328696 + ... + 13712328841.

It is an arithmetic number, because the mean of its divisors is an integer number (507356164453).

Almost surely, 2^{2002000000201} is an apocalyptic number.

It is an amenable number.

2002000000201 is a deficient number, since it is larger than the sum of its proper divisors (27424657611).

2002000000201 is an equidigital number, since it uses as much as digits as its factorization.

2002000000201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27424657610.

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

Adding to 2002000000201 its reverse (1020000002002), we get a palindrome (3022000002203).

The spelling of 2002000000201 in words is "two trillion, two billion, two hundred one", and thus it is an aban number.