132132101201100 has 2592 divisors, whose sum is σ = 583265024649216. Its totient is φ = 24575917363200.

The previous prime is 132132101201057. The next prime is 132132101201129. The reversal of 132132101201100 is 1102101231231.

132132101201100 is a `hidden beast` number, since 1 + 321 + 3 + 210 + 1 + 20 + 110 + 0 = 666.

132132101201100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 863 ways as a sum of consecutive naturals, for example, 85633246929 + ... + 85633248471.

Almost surely, 2^{132132101201100} is an apocalyptic number.

132132101201100 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 132132101201100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291632512324608).

132132101201100 is an abundant number, since it is smaller than the sum of its proper divisors (451132923448116).

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

132132101201100 is a wasteful number, since it uses less digits than its factorization.

132132101201100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2005 (or 1988 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 132132101201100 its reverse (1102101231231), we get a palindrome (133234202432331).

The spelling of 132132101201100 in words is "one hundred thirty-two trillion, one hundred thirty-two billion, one hundred one million, two hundred one thousand, one hundred".