331201122211201 has 8 divisors (see below), whose sum is σ = 361311010845408. Its totient is φ = 301091349528000.

The previous prime is 331201122211187. The next prime is 331201122211273. The reversal of 331201122211201 is 102112221102133.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 331201122211201 - 2⁷ = 331201122211073 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (331201122211501) 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, 22960815 + ... + 34490596.

It is an arithmetic number, because the mean of its divisors is an integer number (45163876355676).

Almost surely, 2^{331201122211201} is an apocalyptic number.

It is an amenable number.

331201122211201 is a deficient number, since it is larger than the sum of its proper divisors (30109888634207).

331201122211201 is a wasteful number, since it uses less digits than its factorization.

331201122211201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57975503.

The product of its (nonzero) digits is 288, while the sum is 22.

Adding to 331201122211201 its reverse (102112221102133), we get a palindrome (433313343313334).

The spelling of 331201122211201 in words is "three hundred thirty-one trillion, two hundred one billion, one hundred twenty-two million, two hundred eleven thousand, two hundred one".