2212100212121 has 2 divisors, whose sum is σ = 2212100212122. Its totient is φ = 2212100212120.

The previous prime is 2212100212117. The next prime is 2212100212141. The reversal of 2212100212121 is 1212120012122.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1439220105625 + 772880106496 = 1199675^2 + 879136^2 .

It is a cyclic number.

It is not a de Polignac number, because 2212100212121 - 2² = 2212100212117 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2212100212121.

It is not a weakly prime, because it can be changed into another prime (2212100212141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1106050106060 + 1106050106061.

It is an arithmetic number, because the mean of its divisors is an integer number (1106050106061).

Almost surely, 2^{2212100212121} is an apocalyptic number.

It is an amenable number.

2212100212121 is a deficient number, since it is larger than the sum of its proper divisors (1).

2212100212121 is an equidigital number, since it uses as much as digits as its factorization.

2212100212121 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 2212100212121 its reverse (1212120012122), we get a palindrome (3424220224243).

The spelling of 2212100212121 in words is "two trillion, two hundred twelve billion, one hundred million, two hundred twelve thousand, one hundred twenty-one".