332330120100 has 432 divisors, whose sum is σ = 1164343602240. Its totient is φ = 78602342400.

The previous prime is 332330120053. The next prime is 332330120113. The reversal of 332330120100 is 1021033233.

332330120100 is a `hidden beast` number, since 332 + 3 + 301 + 20 + 10 + 0 = 666.

It is a super-2 number, since 2×332330120100² (a number of 24 digits) contains 22 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 143 ways as a sum of consecutive naturals, for example, 80019624 + ... + 80023776.

It is an arithmetic number, because the mean of its divisors is an integer number (2695239820).

Almost surely, 2^332330120100 is an apocalyptic number.

332330120100 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 332330120100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (582171801120).

332330120100 is an abundant number, since it is smaller than the sum of its proper divisors (832013482140).

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

332330120100 is a wasteful number, since it uses less digits than its factorization.

332330120100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4380 (or 4370 counting only the distinct ones).

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

Adding to 332330120100 its reverse (1021033233), we get a palindrome (333351153333).

The spelling of 332330120100 in words is "three hundred thirty-two billion, three hundred thirty million, one hundred twenty thousand, one hundred".