212101101001217 has 2 divisors, whose sum is σ = 212101101001218. Its totient is φ = 212101101001216.

The previous prime is 212101101001201. The next prime is 212101101001259. The reversal of 212101101001217 is 712100101101212.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 205006383985936 + 7094717015281 = 14318044^2 + 2663591^2 .

It is a cyclic number.

It is not a de Polignac number, because 212101101001217 - 2⁴ = 212101101001201 is a prime.

It is not a weakly prime, because it can be changed into another prime (212101101001267) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106050550500608 + 106050550500609.

It is an arithmetic number, because the mean of its divisors is an integer number (106050550500609).

Almost surely, 2^{212101101001217} is an apocalyptic number.

It is an amenable number.

212101101001217 is a deficient number, since it is larger than the sum of its proper divisors (1).

212101101001217 is an equidigital number, since it uses as much as digits as its factorization.

212101101001217 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 20.

Adding to 212101101001217 its reverse (712100101101212), we get a palindrome (924201202102429).

The spelling of 212101101001217 in words is "two hundred twelve trillion, one hundred one billion, one hundred one million, one thousand, two hundred seventeen".