4212101321 has 2 divisors, whose sum is σ = 4212101322. Its totient is φ = 4212101320.

The previous prime is 4212101291. The next prime is 4212101323. The reversal of 4212101321 is 1231012124.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 3438649600 + 773451721 = 58640^2 + 27811^2 .

It is a cyclic number.

It is not a de Polignac number, because 4212101321 - 2¹⁴ = 4212084937 is a prime.

Together with 4212101323, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 4212101321.

It is not a weakly prime, because it can be changed into another prime (4212101323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2106050660 + 2106050661.

It is an arithmetic number, because the mean of its divisors is an integer number (2106050661).

Almost surely, 2^4212101321 is an apocalyptic number.

It is an amenable number.

4212101321 is a deficient number, since it is larger than the sum of its proper divisors (1).

4212101321 is an equidigital number, since it uses as much as digits as its factorization.

4212101321 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 17.

The square root of 4212101321 is about 64900.7035478045. The cubic root of 4212101321 is about 1614.9767330116.

Adding to 4212101321 its reverse (1231012124), we get a palindrome (5443113445).

The spelling of 4212101321 in words is "four billion, two hundred twelve million, one hundred one thousand, three hundred twenty-one".