212121000000017 has 2 divisors, whose sum is σ = 212121000000018. Its totient is φ = 212121000000016.

The previous prime is 212121000000011. The next prime is 212121000000053. The reversal of 212121000000017 is 710000000121212.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 194047992472321 + 18073007527696 = 13930111^2 + 4251236^2 .

It is a cyclic number.

It is not a de Polignac number, because 212121000000017 - 2¹⁰ = 212120999998993 is a prime.

It is a super-3 number, since 3×212121000000017³ (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 212120999999941 and 212121000000004.

It is not a weakly prime, because it can be changed into another prime (212121000000011) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106060500000008 + 106060500000009.

It is an arithmetic number, because the mean of its divisors is an integer number (106060500000009).

Almost surely, 2^{212121000000017} is an apocalyptic number.

It is an amenable number.

212121000000017 is a deficient number, since it is larger than the sum of its proper divisors (1).

212121000000017 is an equidigital number, since it uses as much as digits as its factorization.

212121000000017 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 17.

Adding to 212121000000017 its reverse (710000000121212), we get a palindrome (922121000121229).

The spelling of 212121000000017 in words is "two hundred twelve trillion, one hundred twenty-one billion, seventeen", and thus it is an aban number.