2002000312201 has 16 divisors (see below), whose sum is σ = 2019516483600. Its totient is φ = 1984570334208.

The previous prime is 2002000312171. The next prime is 2002000312229. The reversal of 2002000312201 is 1022130002002.

It can be written as a sum of positive squares in 8 ways, for example, as 54158598400 + 1947841713801 = 232720^2 + 1395651^2 .

It is a cyclic number.

It is not a de Polignac number, because 2002000312201 - 2²³ = 2001991923593 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2002000312001) 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 in 15 ways as a sum of consecutive naturals, for example, 68714205 + ... + 68743333.

It is an arithmetic number, because the mean of its divisors is an integer number (126219780225).

Almost surely, 2^{2002000312201} is an apocalyptic number.

It is an amenable number.

2002000312201 is a deficient number, since it is larger than the sum of its proper divisors (17516171399).

2002000312201 is a wasteful number, since it uses less digits than its factorization.

2002000312201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30588.

The product of its (nonzero) digits is 48, while the sum is 13.

Adding to 2002000312201 its reverse (1022130002002), we get a palindrome (3024130314203).

The spelling of 2002000312201 in words is "two trillion, two billion, three hundred twelve thousand, two hundred one".