3000221312029 has 2 divisors, whose sum is σ = 3000221312030. Its totient is φ = 3000221312028.

The previous prime is 3000221312027. The next prime is 3000221312041. The reversal of 3000221312029 is 9202131220003.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2678819624100 + 321401687929 = 1636710^2 + 566923^2 .

It is a cyclic number.

It is not a de Polignac number, because 3000221312029 - 2¹ = 3000221312027 is a prime.

Together with 3000221312027, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 3000221311994 and 3000221312012.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (3000221312021) 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, 1500110656014 + 1500110656015.

It is an arithmetic number, because the mean of its divisors is an integer number (1500110656015).

Almost surely, 2^{3000221312029} is an apocalyptic number.

It is an amenable number.

3000221312029 is a deficient number, since it is larger than the sum of its proper divisors (1).

3000221312029 is an equidigital number, since it uses as much as digits as its factorization.

3000221312029 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1296, while the sum is 25.

The spelling of 3000221312029 in words is "three trillion, two hundred twenty-one million, three hundred twelve thousand, twenty-nine".