210100100221213 has 2 divisors, whose sum is σ = 210100100221214. Its totient is φ = 210100100221212.

The previous prime is 210100100221189. The next prime is 210100100221223. The reversal of 210100100221213 is 312122001001012.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 190698920746884 + 19401179474329 = 13809378^2 + 4404677^2 .

It is a cyclic number.

It is not a de Polignac number, because 210100100221213 - 2¹⁷ = 210100100090141 is a prime.

It is a super-2 number, since 2×210100100221213² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (210100100221223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 105050050110606 + 105050050110607.

It is an arithmetic number, because the mean of its divisors is an integer number (105050050110607).

Almost surely, 2^{210100100221213} is an apocalyptic number.

It is an amenable number.

210100100221213 is a deficient number, since it is larger than the sum of its proper divisors (1).

210100100221213 is an equidigital number, since it uses as much as digits as its factorization.

210100100221213 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 210100100221213 its reverse (312122001001012), we get a palindrome (522222101222225).

The spelling of 210100100221213 in words is "two hundred ten trillion, one hundred billion, one hundred million, two hundred twenty-one thousand, two hundred thirteen".