3002221312211 has 16 divisors (see below), whose sum is σ = 3384718368768. Its totient is φ = 2638189617600.

The previous prime is 3002221312201. The next prime is 3002221312229. The reversal of 3002221312211 is 1122131222003.

3002221312211 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 3002221312211 - 2¹⁸ = 3002221050067 is a prime.

It is not an unprimeable number, because it can be changed into a prime (3002221312201) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4806626 + ... + 5395191.

It is an arithmetic number, because the mean of its divisors is an integer number (211544898048).

Almost surely, 2^{3002221312211} is an apocalyptic number.

3002221312211 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

3002221312211 is a deficient number, since it is larger than the sum of its proper divisors (382497056557).

3002221312211 is a wasteful number, since it uses less digits than its factorization.

3002221312211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10202722.

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

Adding to 3002221312211 its reverse (1122131222003), we get a palindrome (4124352534214).

The spelling of 3002221312211 in words is "three trillion, two billion, two hundred twenty-one million, three hundred twelve thousand, two hundred eleven".