3300120332100 has 216 divisors, whose sum is σ = 10798379067840. Its totient is φ = 841411549440.

The previous prime is 3300120332083. The next prime is 3300120332129. The reversal of 3300120332100 is 12330210033.

3300120332100 is a `hidden beast` number, since 3 + 300 + 1 + 20 + 332 + 10 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 50413191 + ... + 50478609.

Almost surely, 2^{3300120332100} is an apocalyptic number.

3300120332100 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3300120332100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5399189533920).

3300120332100 is an abundant number, since it is smaller than the sum of its proper divisors (7498258735740).

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

3300120332100 is a wasteful number, since it uses less digits than its factorization.

3300120332100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67899 (or 67889 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 3300120332100 its reverse (12330210033), we get a palindrome (3312450542133).

The spelling of 3300120332100 in words is "three trillion, three hundred billion, one hundred twenty million, three hundred thirty-two thousand, one hundred".