2121110212213 has 2 divisors, whose sum is σ = 2121110212214. Its totient is φ = 2121110212212.

The previous prime is 2121110212063. The next prime is 2121110212223. The reversal of 2121110212213 is 3122120111212.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1728680632849 + 392429579364 = 1314793^2 + 626442^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2121110212213 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2121110212223) 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, 1060555106106 + 1060555106107.

It is an arithmetic number, because the mean of its divisors is an integer number (1060555106107).

Almost surely, 2^{2121110212213} is an apocalyptic number.

It is an amenable number.

2121110212213 is a deficient number, since it is larger than the sum of its proper divisors (1).

2121110212213 is an equidigital number, since it uses as much as digits as its factorization.

2121110212213 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 19.

Adding to 2121110212213 its reverse (3122120111212), we get a palindrome (5243230323425).

The spelling of 2121110212213 in words is "two trillion, one hundred twenty-one billion, one hundred ten million, two hundred twelve thousand, two hundred thirteen".