212212102121 has 2 divisors, whose sum is σ = 212212102122. Its totient is φ = 212212102120.

The previous prime is 212212102099. The next prime is 212212102153. The reversal of 212212102121 is 121201212212.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 139006682896 + 73205419225 = 372836^2 + 270565^2 .

It is a cyclic number.

It is not a de Polignac number, because 212212102121 - 2¹⁴ = 212212085737 is a prime.

It is a super-2 number, since 2×212212102121² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 212212102121.

It is not a weakly prime, because it can be changed into another prime (212212102321) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106106051060 + 106106051061.

It is an arithmetic number, because the mean of its divisors is an integer number (106106051061).

Almost surely, 2^212212102121 is an apocalyptic number.

It is an amenable number.

212212102121 is a deficient number, since it is larger than the sum of its proper divisors (1).

212212102121 is an equidigital number, since it uses as much as digits as its factorization.

212212102121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 212212102121 its reverse (121201212212), we get a palindrome (333413314333).

The spelling of 212212102121 in words is "two hundred twelve billion, two hundred twelve million, one hundred two thousand, one hundred twenty-one".