2121104213 has 2 divisors, whose sum is σ = 2121104214. Its totient is φ = 2121104212.

The previous prime is 2121104203. The next prime is 2121104231. The reversal of 2121104213 is 3124011212.

Together with next prime (2121104231) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2110299844 + 10804369 = 45938^2 + 3287^2 .

It is a cyclic number.

It is not a de Polignac number, because 2121104213 - 2¹² = 2121100117 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 2121104191 and 2121104200.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2121104203) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1060552106 + 1060552107.

It is an arithmetic number, because the mean of its divisors is an integer number (1060552107).

Almost surely, 2^2121104213 is an apocalyptic number.

It is an amenable number.

2121104213 is a deficient number, since it is larger than the sum of its proper divisors (1).

2121104213 is an equidigital number, since it uses as much as digits as its factorization.

2121104213 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 96, while the sum is 17.

The square root of 2121104213 is about 46055.4471588324. The cubic root of 2121104213 is about 1284.8546546887.

Adding to 2121104213 its reverse (3124011212), we get a palindrome (5245115425).

The spelling of 2121104213 in words is "two billion, one hundred twenty-one million, one hundred four thousand, two hundred thirteen".