332013221100 has 864 divisors, whose sum is σ = 1210346032896. Its totient is φ = 75391948800.

The previous prime is 332013221077. The next prime is 332013221107. The reversal of 332013221100 is 1122310233.

332013221100 is a `hidden beast` number, since 3 + 320 + 132 + 211 + 0 + 0 = 666.

It is a super-2 number, since 2×332013221100² (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 not an unprimeable number, because it can be changed into a prime (332013221107) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1685346202 + ... + 1685346398.

It is an arithmetic number, because the mean of its divisors is an integer number (1400863464).

Almost surely, 2^332013221100 is an apocalyptic number.

332013221100 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 332013221100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (605173016448).

332013221100 is an abundant number, since it is smaller than the sum of its proper divisors (878332811796).

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

332013221100 is a wasteful number, since it uses less digits than its factorization.

332013221100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 415 (or 405 counting only the distinct ones).

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

Adding to 332013221100 its reverse (1122310233), we get a palindrome (333135531333).

The spelling of 332013221100 in words is "three hundred thirty-two billion, thirteen million, two hundred twenty-one thousand, one hundred".