3301221003201 has 64 divisors (see below), whose sum is σ = 5378412441600. Its totient is φ = 1984598006400.

The previous prime is 3301221003151. The next prime is 3301221003217. The reversal of 3301221003201 is 1023001221033.

3301221003201 is a `hidden beast` number, since 330 + 1 + 2 + 2 + 10 + 0 + 320 + 1 = 666.

It is not a de Polignac number, because 3301221003201 - 2³⁵ = 3266861264833 is a prime.

It is a super-2 number, since 2×3301221003201² (a number of 26 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (3301221003221) 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 in 63 ways as a sum of consecutive naturals, for example, 53638036 + ... + 53699546.

It is an arithmetic number, because the mean of its divisors is an integer number (84037694400).

Almost surely, 2^{3301221003201} is an apocalyptic number.

It is an amenable number.

3301221003201 is a deficient number, since it is larger than the sum of its proper divisors (2077191438399).

3301221003201 is a wasteful number, since it uses less digits than its factorization.

3301221003201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62987 (or 62981 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 3301221003201 its reverse (1023001221033), we get a palindrome (4324222224234).

The spelling of 3301221003201 in words is "three trillion, three hundred one billion, two hundred twenty-one million, three thousand, two hundred one".