212102112017 has 2 divisors, whose sum is σ = 212102112018. Its totient is φ = 212102112016.

The previous prime is 212102111989. The next prime is 212102112023. The reversal of 212102112017 is 710211201212.

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., 116259858961 + 95842253056 = 340969^2 + 309584^2 .

It is a cyclic number.

It is not a de Polignac number, because 212102112017 - 2²⁴ = 212085334801 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 212102112017.

It is not a weakly prime, because it can be changed into another prime (212102112077) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106051056008 + 106051056009.

It is an arithmetic number, because the mean of its divisors is an integer number (106051056009).

Almost surely, 2^212102112017 is an apocalyptic number.

It is an amenable number.

212102112017 is a deficient number, since it is larger than the sum of its proper divisors (1).

212102112017 is an equidigital number, since it uses as much as digits as its factorization.

212102112017 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 212102112017 its reverse (710211201212), we get a palindrome (922313313229).

The spelling of 212102112017 in words is "two hundred twelve billion, one hundred two million, one hundred twelve thousand, seventeen".