212121212221117 has 2 divisors, whose sum is σ = 212121212221118. Its totient is φ = 212121212221116.

The previous prime is 212121212221003. The next prime is 212121212221231. The reversal of 212121212221117 is 711122212121212.

It is a balanced prime because it is at equal distance from previous prime (212121212221003) and next prime (212121212221231).

It can be written as a sum of positive squares in only one way, i.e., 160015061886436 + 52106150334681 = 12649706^2 + 7218459^2 .

It is a cyclic number.

It is not a de Polignac number, because 212121212221117 - 2⁷ = 212121212220989 is a prime.

It is a super-2 number, since 2×212121212221117² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (212121212221517) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106060606110558 + 106060606110559.

It is an arithmetic number, because the mean of its divisors is an integer number (106060606110559).

Almost surely, 2^{212121212221117} is an apocalyptic number.

It is an amenable number.

212121212221117 is a deficient number, since it is larger than the sum of its proper divisors (1).

212121212221117 is an equidigital number, since it uses as much as digits as its factorization.

212121212221117 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 896, while the sum is 28.

Adding to 212121212221117 its reverse (711122212121212), we get a palindrome (923243424342329).

The spelling of 212121212221117 in words is "two hundred twelve trillion, one hundred twenty-one billion, two hundred twelve million, two hundred twenty-one thousand, one hundred seventeen".