20002101200201 has 2 divisors, whose sum is σ = 20002101200202. Its totient is φ = 20002101200200.

The previous prime is 20002101200141. The next prime is 20002101200281. The reversal of 20002101200201 is 10200210120002.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 19986943896976 + 15157303225 = 4470676^2 + 123115^2 .

It is a cyclic number.

It is not a de Polignac number, because 20002101200201 - 2²⁶ = 20002034091337 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (20002101200281) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10001050600100 + 10001050600101.

It is an arithmetic number, because the mean of its divisors is an integer number (10001050600101).

Almost surely, 2^{20002101200201} is an apocalyptic number.

It is an amenable number.

20002101200201 is a deficient number, since it is larger than the sum of its proper divisors (1).

20002101200201 is an equidigital number, since it uses as much as digits as its factorization.

20002101200201 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 20002101200201 its reverse (10200210120002), we get a palindrome (30202311320203).

The spelling of 20002101200201 in words is "twenty trillion, two billion, one hundred one million, two hundred thousand, two hundred one".