330223002100 has 72 divisors (see below), whose sum is σ = 734143199328. Its totient is φ = 128859964800.

The previous prime is 330223001959. The next prime is 330223002107. The reversal of 330223002100 is 1200322033.

It is a super-2 number, since 2×330223002100² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (330223002107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3509670 + ... + 3602530.

It is an arithmetic number, because the mean of its divisors is an integer number (10196433324).

Almost surely, 2^330223002100 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 330223002100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (367071599664).

330223002100 is an abundant number, since it is smaller than the sum of its proper divisors (403920197228).

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

330223002100 is a wasteful number, since it uses less digits than its factorization.

330223002100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93745 (or 93738 counting only the distinct ones).

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

Adding to 330223002100 its reverse (1200322033), we get a palindrome (331423324133).

The spelling of 330223002100 in words is "three hundred thirty billion, two hundred twenty-three million, two thousand, one hundred".