2212112120213 has 2 divisors, whose sum is σ = 2212112120214. Its totient is φ = 2212112120212.

The previous prime is 2212112120077. The next prime is 2212112120279. The reversal of 2212112120213 is 3120212112122.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1206708841009 + 1005403279204 = 1098503^2 + 1002698^2 .

It is a cyclic number.

It is not a de Polignac number, because 2212112120213 - 2²⁶ = 2212045011349 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2212112110213) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1106056060106 + 1106056060107.

It is an arithmetic number, because the mean of its divisors is an integer number (1106056060107).

Almost surely, 2^{2212112120213} is an apocalyptic number.

It is an amenable number.

2212112120213 is a deficient number, since it is larger than the sum of its proper divisors (1).

2212112120213 is an equidigital number, since it uses as much as digits as its factorization.

2212112120213 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 192, while the sum is 20.

Adding to 2212112120213 its reverse (3120212112122), we get a palindrome (5332324232335).

The spelling of 2212112120213 in words is "two trillion, two hundred twelve billion, one hundred twelve million, one hundred twenty thousand, two hundred thirteen".