132122220100 has 216 divisors, whose sum is σ = 337862141064. Its totient is φ = 44425728000.

The previous prime is 132122220089. The next prime is 132122220101. The reversal of 132122220100 is 1022221231.

It is a happy number.

132122220100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 77979445504 + 54142774596 = 279248^2 + 232686^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132122220101) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 21234990 + ... + 21241210.

It is an arithmetic number, because the mean of its divisors is an integer number (1564176579).

Almost surely, 2^132122220100 is an apocalyptic number.

132122220100 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 132122220100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168931070532).

132122220100 is an abundant number, since it is smaller than the sum of its proper divisors (205739920964).

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

132122220100 is a wasteful number, since it uses less digits than its factorization.

132122220100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6327 (or 6289 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 132122220100 its reverse (1022221231), we get a palindrome (133144441331).

The spelling of 132122220100 in words is "one hundred thirty-two billion, one hundred twenty-two million, two hundred twenty thousand, one hundred".