3221013012001 has 2 divisors, whose sum is σ = 3221013012002. Its totient is φ = 3221013012000.

The previous prime is 3221013011981. The next prime is 3221013012037. The reversal of 3221013012001 is 1002103101223.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2130709493025 + 1090303518976 = 1459695^2 + 1044176^2 .

It is a cyclic number.

It is not a de Polignac number, because 3221013012001 - 2⁵ = 3221013011969 is a prime.

It is not a weakly prime, because it can be changed into another prime (3221013912001) 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 as a sum of consecutive naturals, namely, 1610506506000 + 1610506506001.

It is an arithmetic number, because the mean of its divisors is an integer number (1610506506001).

Almost surely, 2^{3221013012001} is an apocalyptic number.

It is an amenable number.

3221013012001 is a deficient number, since it is larger than the sum of its proper divisors (1).

3221013012001 is an equidigital number, since it uses as much as digits as its factorization.

3221013012001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 3221013012001 its reverse (1002103101223), we get a palindrome (4223116113224).

The spelling of 3221013012001 in words is "three trillion, two hundred twenty-one billion, thirteen million, twelve thousand, one".