10212100122017 has 2 divisors, whose sum is σ = 10212100122018. Its totient is φ = 10212100122016.

The previous prime is 10212100122001. The next prime is 10212100122019. The reversal of 10212100122017 is 71022100121201.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 5446244370961 + 4765855751056 = 2333719^2 + 2183084^2 .

It is a cyclic number.

It is not a de Polignac number, because 10212100122017 - 2⁴ = 10212100122001 is a prime.

Together with 10212100122019, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10212100122017.

It is not a weakly prime, because it can be changed into another prime (10212100122019) 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, 5106050061008 + 5106050061009.

It is an arithmetic number, because the mean of its divisors is an integer number (5106050061009).

Almost surely, 2^{10212100122017} is an apocalyptic number.

It is an amenable number.

10212100122017 is a deficient number, since it is larger than the sum of its proper divisors (1).

10212100122017 is an equidigital number, since it uses as much as digits as its factorization.

10212100122017 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 20.

Adding to 10212100122017 its reverse (71022100121201), we get a palindrome (81234200243218).

The spelling of 10212100122017 in words is "ten trillion, two hundred twelve billion, one hundred million, one hundred twenty-two thousand, seventeen".