210002200100101 has 2 divisors, whose sum is σ = 210002200100102. Its totient is φ = 210002200100100.

The previous prime is 210002200100089. The next prime is 210002200100219. The reversal of 210002200100101 is 101001002200012.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 191624911408225 + 18377288691876 = 13842865^2 + 4286874^2 .

It is a cyclic number.

It is not a de Polignac number, because 210002200100101 - 2²⁵ = 210002166545669 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (210002200100401) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 105001100050050 + 105001100050051.

It is an arithmetic number, because the mean of its divisors is an integer number (105001100050051).

Almost surely, 2^{210002200100101} is an apocalyptic number.

It is an amenable number.

210002200100101 is a deficient number, since it is larger than the sum of its proper divisors (1).

210002200100101 is an equidigital number, since it uses as much as digits as its factorization.

210002200100101 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 210002200100101 its reverse (101001002200012), we get a palindrome (311003202300113).

The spelling of 210002200100101 in words is "two hundred ten trillion, two billion, two hundred million, one hundred thousand, one hundred one".