210100100002201 has 2 divisors, whose sum is σ = 210100100002202. Its totient is φ = 210100100002200.

The previous prime is 210100100002123. The next prime is 210100100002267. The reversal of 210100100002201 is 102200001001012.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 195996500015625 + 14103599986576 = 13999875^2 + 3755476^2 .

It is a cyclic number.

It is not a de Polignac number, because 210100100002201 - 2¹³ = 210100099994009 is a prime.

It is not a weakly prime, because it can be changed into another prime (210100100002301) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 105050050001100 + 105050050001101.

It is an arithmetic number, because the mean of its divisors is an integer number (105050050001101).

Almost surely, 2^{210100100002201} is an apocalyptic number.

It is an amenable number.

210100100002201 is a deficient number, since it is larger than the sum of its proper divisors (1).

210100100002201 is an equidigital number, since it uses as much as digits as its factorization.

210100100002201 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 10.

Adding to 210100100002201 its reverse (102200001001012), we get a palindrome (312300101003213).

The spelling of 210100100002201 in words is "two hundred ten trillion, one hundred billion, one hundred million, two thousand, two hundred one".