2002100201 has 2 divisors, whose sum is σ = 2002100202. Its totient is φ = 2002100200.

The previous prime is 2002100099. The next prime is 2002100207. The reversal of 2002100201 is 1020012002.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1824571225 + 177528976 = 42715^2 + 13324^2 .

It is a cyclic number.

It is not a de Polignac number, because 2002100201 - 2²⁶ = 1934991337 is a prime.

It is not a weakly prime, because it can be changed into another prime (2002100207) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1001050100 + 1001050101.

It is an arithmetic number, because the mean of its divisors is an integer number (1001050101).

Almost surely, 2^2002100201 is an apocalyptic number.

It is an amenable number.

2002100201 is a deficient number, since it is larger than the sum of its proper divisors (1).

2002100201 is an equidigital number, since it uses as much as digits as its factorization.

2002100201 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.

The square root of 2002100201 is about 44744.8343499001. The cubic root of 2002100201 is about 1260.3619101898.

Adding to 2002100201 its reverse (1020012002), we get a palindrome (3022112203).

The spelling of 2002100201 in words is "two billion, two million, one hundred thousand, two hundred one".