330232010012100 has 864 divisors, whose sum is σ = 1250850140467200. Its totient is φ = 71186256691200.

The previous prime is 330232010012041. The next prime is 330232010012131. The reversal of 330232010012100 is 1210010232033.

330232010012100 is a `hidden beast` number, since 3 + 30 + 2 + 320 + 100 + 1 + 210 + 0 = 666.

It is a super-3 number, since 3×330232010012100³ (a number of 45 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 82167703891 + ... + 82167707909.

Almost surely, 2^{330232010012100} is an apocalyptic number.

330232010012100 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 330232010012100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (625425070233600).

330232010012100 is an abundant number, since it is smaller than the sum of its proper divisors (920618130455100).

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

330232010012100 is a wasteful number, since it uses less digits than its factorization.

330232010012100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6993 (or 6983 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 330232010012100 its reverse (1210010232033), we get a palindrome (331442020244133).

The spelling of 330232010012100 in words is "three hundred thirty trillion, two hundred thirty-two billion, ten million, twelve thousand, one hundred".