12212100122821 has 2 divisors, whose sum is σ = 12212100122822. Its totient is φ = 12212100122820.

The previous prime is 12212100122779. The next prime is 12212100122857. The reversal of 12212100122821 is 12822100121221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7422300872100 + 4789799250721 = 2724390^2 + 2188561^2 .

It is an emirp because it is prime and its reverse (12822100121221) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 12212100122821 - 2¹⁹ = 12212099598533 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12212100122891) 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, 6106050061410 + 6106050061411.

It is an arithmetic number, because the mean of its divisors is an integer number (6106050061411).

Almost surely, 2^{12212100122821} is an apocalyptic number.

It is an amenable number.

12212100122821 is a deficient number, since it is larger than the sum of its proper divisors (1).

12212100122821 is an equidigital number, since it uses as much as digits as its factorization.

12212100122821 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 512, while the sum is 25.

The spelling of 12212100122821 in words is "twelve trillion, two hundred twelve billion, one hundred million, one hundred twenty-two thousand, eight hundred twenty-one".