21112102110217 has 2 divisors, whose sum is σ = 21112102110218. Its totient is φ = 21112102110216.

The previous prime is 21112102110167. The next prime is 21112102110271. The reversal of 21112102110217 is 71201120121112.

Together with next prime (21112102110271) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 13526131928521 + 7585970181696 = 3677789^2 + 2754264^2 .

It is a cyclic number.

It is not a de Polignac number, because 21112102110217 - 2³⁵ = 21077742371849 is a prime.

It is not a weakly prime, because it can be changed into another prime (21112102110917) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10556051055108 + 10556051055109.

It is an arithmetic number, because the mean of its divisors is an integer number (10556051055109).

Almost surely, 2^{21112102110217} is an apocalyptic number.

It is an amenable number.

21112102110217 is a deficient number, since it is larger than the sum of its proper divisors (1).

21112102110217 is an equidigital number, since it uses as much as digits as its factorization.

21112102110217 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 112, while the sum is 22.

Adding to 21112102110217 its reverse (71201120121112), we get a palindrome (92313222231329).

The spelling of 21112102110217 in words is "twenty-one trillion, one hundred twelve billion, one hundred two million, one hundred ten thousand, two hundred seventeen".