330120300000100 has 144 divisors (see below), whose sum is σ = 721676696540800. Its totient is φ = 131071739673600.

The previous prime is 330120300000061. The next prime is 330120300000107. The reversal of 330120300000100 is 1000003021033.

It is not an unprimeable number, because it can be changed into a prime (330120300000107) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19919155414 + ... + 19919171986.

Almost surely, 2^{330120300000100} 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 330120300000100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (360838348270400).

330120300000100 is an abundant number, since it is smaller than the sum of its proper divisors (391556396540700).

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

330120300000100 is a wasteful number, since it uses less digits than its factorization.

330120300000100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19110 (or 19103 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 13.

Adding to 330120300000100 its reverse (1000003021033), we get a palindrome (331120303021133).

The spelling of 330120300000100 in words is "three hundred thirty trillion, one hundred twenty billion, three hundred million, one hundred", and thus it is an aban number.