2122102310213 has 2 divisors, whose sum is σ = 2122102310214. Its totient is φ = 2122102310212.

The previous prime is 2122102310189. The next prime is 2122102310233. The reversal of 2122102310213 is 3120132012212.

It is an a-pointer prime, because the next prime (2122102310233) can be obtained adding 2122102310213 to its sum of digits (20).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1275889979809 + 846212330404 = 1129553^2 + 919898^2 .

It is a cyclic number.

It is not a de Polignac number, because 2122102310213 - 2¹⁸ = 2122102048069 is a prime.

It is a super-2 number, since 2×2122102310213² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2122102310233) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1061051155106 + 1061051155107.

It is an arithmetic number, because the mean of its divisors is an integer number (1061051155107).

Almost surely, 2^{2122102310213} is an apocalyptic number.

It is an amenable number.

2122102310213 is a deficient number, since it is larger than the sum of its proper divisors (1).

2122102310213 is an equidigital number, since it uses as much as digits as its factorization.

2122102310213 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 2122102310213 its reverse (3120132012212), we get a palindrome (5242234322425).

The spelling of 2122102310213 in words is "two trillion, one hundred twenty-two billion, one hundred two million, three hundred ten thousand, two hundred thirteen".