10212102112117 has 2 divisors, whose sum is σ = 10212102112118. Its totient is φ = 10212102112116.

The previous prime is 10212102112109. The next prime is 10212102112153. The reversal of 10212102112117 is 71121120121201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8144140194436 + 2067961917681 = 2853794^2 + 1438041^2 .

It is an emirp because it is prime and its reverse (71121120121201) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10212102112117 - 2³ = 10212102112109 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10212102112217) 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, 5106051056058 + 5106051056059.

It is an arithmetic number, because the mean of its divisors is an integer number (5106051056059).

Almost surely, 2^{10212102112117} is an apocalyptic number.

It is an amenable number.

10212102112117 is a deficient number, since it is larger than the sum of its proper divisors (1).

10212102112117 is an equidigital number, since it uses as much as digits as its factorization.

10212102112117 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 10212102112117 its reverse (71121120121201), we get a palindrome (81333222233318).

The spelling of 10212102112117 in words is "ten trillion, two hundred twelve billion, one hundred two million, one hundred twelve thousand, one hundred seventeen".