212434112320301 has 2 divisors, whose sum is σ = 212434112320302. Its totient is φ = 212434112320300.

The previous prime is 212434112320229. The next prime is 212434112320303. The reversal of 212434112320301 is 103023211434212.

It is a happy number.

212434112320301 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 162330507328201 + 50103604992100 = 12740899^2 + 7078390^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-212434112320301 is a prime.

It is a super-2 number, since 2×212434112320301² (a number of 29 digits) contains 22 as substring.

It is a Sophie Germain prime.

Together with 212434112320303, it forms a pair of twin primes.

It is a Chen prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (212434112320303) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106217056160150 + 106217056160151.

It is an arithmetic number, because the mean of its divisors is an integer number (106217056160151).

Almost surely, 2^{212434112320301} is an apocalyptic number.

It is an amenable number.

212434112320301 is a deficient number, since it is larger than the sum of its proper divisors (1).

212434112320301 is an equidigital number, since it uses as much as digits as its factorization.

212434112320301 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 6912, while the sum is 29.

Adding to 212434112320301 its reverse (103023211434212), we get a palindrome (315457323754513).

The spelling of 212434112320301 in words is "two hundred twelve trillion, four hundred thirty-four billion, one hundred twelve million, three hundred twenty thousand, three hundred one".