212100000022121 has 2 divisors, whose sum is σ = 212100000022122. Its totient is φ = 212100000022120.

The previous prime is 212100000022069. The next prime is 212100000022171. The reversal of 212100000022121 is 121220000001212.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 185192333714521 + 26907666307600 = 13608539^2 + 5187260^2 .

It is a cyclic number.

It is not a de Polignac number, because 212100000022121 - 2³⁸ = 211825122115177 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 212100000022096 and 212100000022105.

It is not a weakly prime, because it can be changed into another prime (212100000022171) 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, 106050000011060 + 106050000011061.

It is an arithmetic number, because the mean of its divisors is an integer number (106050000011061).

Almost surely, 2^{212100000022121} is an apocalyptic number.

It is an amenable number.

212100000022121 is a deficient number, since it is larger than the sum of its proper divisors (1).

212100000022121 is an equidigital number, since it uses as much as digits as its factorization.

212100000022121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 212100000022121 its reverse (121220000001212), we get a palindrome (333320000023333).

The spelling of 212100000022121 in words is "two hundred twelve trillion, one hundred billion, twenty-two thousand, one hundred twenty-one".