10112101210217 has 2 divisors, whose sum is σ = 10112101210218. Its totient is φ = 10112101210216.

The previous prime is 10112101210171. The next prime is 10112101210219. The reversal of 10112101210217 is 71201210121101.

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., 8169244359721 + 1942856850496 = 2858189^2 + 1393864^2 .

It is a cyclic number.

It is not a de Polignac number, because 10112101210217 - 2¹⁰ = 10112101209193 is a prime.

Together with 10112101210219, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (10112101210219) 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, 5056050605108 + 5056050605109.

It is an arithmetic number, because the mean of its divisors is an integer number (5056050605109).

Almost surely, 2^{10112101210217} is an apocalyptic number.

It is an amenable number.

10112101210217 is a deficient number, since it is larger than the sum of its proper divisors (1).

10112101210217 is an equidigital number, since it uses as much as digits as its factorization.

10112101210217 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 56, while the sum is 20.

Adding to 10112101210217 its reverse (71201210121101), we get a palindrome (81313311331318).

The spelling of 10112101210217 in words is "ten trillion, one hundred twelve billion, one hundred one million, two hundred ten thousand, two hundred seventeen".