12102101100217 has 2 divisors, whose sum is σ = 12102101100218. Its totient is φ = 12102101100216.

The previous prime is 12102101100181. The next prime is 12102101100223. The reversal of 12102101100217 is 71200110120121.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7532066180521 + 4570034919696 = 2744461^2 + 2137764^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-12102101100217 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12102101100194 and 12102101100203.

It is not a weakly prime, because it can be changed into another prime (12102101100227) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6051050550108 + 6051050550109.

It is an arithmetic number, because the mean of its divisors is an integer number (6051050550109).

Almost surely, 2^{12102101100217} is an apocalyptic number.

It is an amenable number.

12102101100217 is a deficient number, since it is larger than the sum of its proper divisors (1).

12102101100217 is an equidigital number, since it uses as much as digits as its factorization.

12102101100217 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 56, while the sum is 19.

Adding to 12102101100217 its reverse (71200110120121), we get a palindrome (83302211220338).

The spelling of 12102101100217 in words is "twelve trillion, one hundred two billion, one hundred one million, one hundred thousand, two hundred seventeen".