132100213122 has 64 divisors (see below), whose sum is σ = 297982955520. Its totient is φ = 43370586000.

The previous prime is 132100213087. The next prime is 132100213177. The reversal of 132100213122 is 221312001231.

132100213122 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 a junction number, because it is equal to n+sod(n) for n = 132100213095 and 132100213104.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4013143 + ... + 4045925.

It is an arithmetic number, because the mean of its divisors is an integer number (4655983680).

Almost surely, 2^132100213122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132100213122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148991477760).

132100213122 is an abundant number, since it is smaller than the sum of its proper divisors (165882742398).

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

132100213122 is a wasteful number, since it uses less digits than its factorization.

132100213122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33916 (or 33910 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 132100213122 its reverse (221312001231), we get a palindrome (353412214353).

The spelling of 132100213122 in words is "one hundred thirty-two billion, one hundred million, two hundred thirteen thousand, one hundred twenty-two".