2002000010201 has 2 divisors, whose sum is σ = 2002000010202. Its totient is φ = 2002000010200.

The previous prime is 2002000010107. The next prime is 2002000010207. The reversal of 2002000010201 is 1020100002002.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1952380220176 + 49619790025 = 1397276^2 + 222755^2 .

It is a cyclic number.

It is not a de Polignac number, because 2002000010201 - 2³⁰ = 2000926268377 is a prime.

It is not a weakly prime, because it can be changed into another prime (2002000010207) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1001000005100 + 1001000005101.

It is an arithmetic number, because the mean of its divisors is an integer number (1001000005101).

Almost surely, 2^{2002000010201} is an apocalyptic number.

It is an amenable number.

2002000010201 is a deficient number, since it is larger than the sum of its proper divisors (1).

2002000010201 is an equidigital number, since it uses as much as digits as its factorization.

2002000010201 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.

Adding to 2002000010201 its reverse (1020100002002), we get a palindrome (3022100012203).

The spelling of 2002000010201 in words is "two trillion, two billion, ten thousand, two hundred one".