212122102013 has 2 divisors, whose sum is σ = 212122102014. Its totient is φ = 212122102012.

The previous prime is 212122101991. The next prime is 212122102033. The reversal of 212122102013 is 310201221212.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 117126848644 + 94995253369 = 342238^2 + 308213^2 .

It is a cyclic number.

It is not a de Polignac number, because 212122102013 - 2³⁴ = 194942232829 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 212122101982 and 212122102000.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (212122102033) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106061051006 + 106061051007.

It is an arithmetic number, because the mean of its divisors is an integer number (106061051007).

Almost surely, 2^212122102013 is an apocalyptic number.

It is an amenable number.

212122102013 is a deficient number, since it is larger than the sum of its proper divisors (1).

212122102013 is an equidigital number, since it uses as much as digits as its factorization.

212122102013 is an evil number, because the sum of its binary digits is even.

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

Adding to 212122102013 its reverse (310201221212), we get a palindrome (522323323225).

The spelling of 212122102013 in words is "two hundred twelve billion, one hundred twenty-two million, one hundred two thousand, thirteen".