330022320000100 has 216 divisors, whose sum is σ = 888810552358848. Its totient is φ = 104145612480000.

The previous prime is 330022319999963. The next prime is 330022320000119. The reversal of 330022320000100 is 1000023220033.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 37030350 + ... + 45069850.

It is an arithmetic number, because the mean of its divisors is an integer number (4114863668328).

Almost surely, 2^{330022320000100} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 330022320000100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (444405276179424).

330022320000100 is an abundant number, since it is smaller than the sum of its proper divisors (558788232358748).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

330022320000100 is a wasteful number, since it uses less digits than its factorization.

330022320000100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8039895 (or 8039875 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

Adding to 330022320000100 its reverse (1000023220033), we get a palindrome (331022343220133).

The spelling of 330022320000100 in words is "three hundred thirty trillion, twenty-two billion, three hundred twenty million, one hundred", and thus it is an aban number.