132211100112 has 320 divisors, whose sum is σ = 457129741824. Its totient is φ = 31930122240.

The previous prime is 132211100111. The next prime is 132211100117. The reversal of 132211100112 is 211001112231.

132211100112 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 132211100091 and 132211100100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132211100111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2723412 + ... + 2771532.

Almost surely, 2^132211100112 is an apocalyptic number.

132211100112 is a gapful number since it is divisible by the number (12) 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 132211100112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228564870912).

132211100112 is an abundant number, since it is smaller than the sum of its proper divisors (324918641712).

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

132211100112 is a wasteful number, since it uses less digits than its factorization.

132211100112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48206 (or 48200 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 15.

Adding to 132211100112 its reverse (211001112231), we get a palindrome (343212212343).

The spelling of 132211100112 in words is "one hundred thirty-two billion, two hundred eleven million, one hundred thousand, one hundred twelve".