3001222101321 has 8 divisors (see below), whose sum is σ = 4446254964960. Its totient is φ = 2000814734196.

The previous prime is 3001222101287. The next prime is 3001222101359. The reversal of 3001222101321 is 1231012221003.

3001222101321 is a `hidden beast` number, since 300 + 1 + 22 + 21 + 0 + 1 + 321 = 666.

It is not a de Polignac number, because 3001222101321 - 2⁹ = 3001222100809 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 3001222101294 and 3001222101303.

It is not an unprimeable number, because it can be changed into a prime (3001222101391) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 55578187035 + ... + 55578187088.

It is an arithmetic number, because the mean of its divisors is an integer number (555781870620).

Almost surely, 2^{3001222101321} is an apocalyptic number.

It is an amenable number.

3001222101321 is a deficient number, since it is larger than the sum of its proper divisors (1445032863639).

3001222101321 is a wasteful number, since it uses less digits than its factorization.

3001222101321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111156374132 (or 111156374126 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 3001222101321 its reverse (1231012221003), we get a palindrome (4232234322324).

The spelling of 3001222101321 in words is "three trillion, one billion, two hundred twenty-two million, one hundred one thousand, three hundred twenty-one".