132221100 has 144 divisors (see below), whose sum is σ = 422472960. Its totient is φ = 31660800.

The previous prime is 132221041. The next prime is 132221129. The reversal of 132221100 is 1122231.

It is a Harshad number since it is a multiple of its sum of digits (12).

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 47 ways as a sum of consecutive naturals, for example, 339706 + ... + 340094.

It is an arithmetic number, because the mean of its divisors is an integer number (2933840).

Almost surely, 2^132221100 is an apocalyptic number.

132221100 is a gapful number since it is divisible by the number (10) 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 132221100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211236480).

132221100 is an abundant number, since it is smaller than the sum of its proper divisors (290251860).

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

132221100 is a wasteful number, since it uses less digits than its factorization.

132221100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 520 (or 513 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 132221100 is about 11498.7434096079. The cubic root of 132221100 is about 509.4484618100.

Adding to 132221100 its reverse (1122231), we get a palindrome (133343331).

It can be divided in two parts, 1322 and 21100, that added together give a palindrome (22422).

The spelling of 132221100 in words is "one hundred thirty-two million, two hundred twenty-one thousand, one hundred".