132111212100 has 288 divisors, whose sum is σ = 449650553856. Its totient is φ = 29315520000.

The previous prime is 132111212071. The next prime is 132111212143. The reversal of 132111212100 is 1212111231.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 132111212100.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 40635475 + ... + 40638725.

Almost surely, 2^132111212100 is an apocalyptic number.

132111212100 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 132111212100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224825276928).

132111212100 is an abundant number, since it is smaller than the sum of its proper divisors (317539341756).

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

132111212100 is a wasteful number, since it uses less digits than its factorization.

132111212100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3835 (or 3828 counting only the distinct ones).

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

Adding to 132111212100 its reverse (1212111231), we get a palindrome (133323323331).

The spelling of 132111212100 in words is "one hundred thirty-two billion, one hundred eleven million, two hundred twelve thousand, one hundred".