132322212122100 has 1152 divisors, whose sum is σ = 533163939323904. Its totient is φ = 24449817600000.

The previous prime is 132322212122083. The next prime is 132322212122119. The reversal of 132322212122100 is 1221212223231.

132322212122100 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 1122162145 + ... + 1122280055.

It is an arithmetic number, because the mean of its divisors is an integer number (462815919552).

Almost surely, 2^{132322212122100} is an apocalyptic number.

132322212122100 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 132322212122100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266581969661952).

132322212122100 is an abundant number, since it is smaller than the sum of its proper divisors (400841727201804).

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

132322212122100 is a wasteful number, since it uses less digits than its factorization.

132322212122100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118097 (or 118090 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 132322212122100 its reverse (1221212223231), we get a palindrome (133543424345331).

The spelling of 132322212122100 in words is "one hundred thirty-two trillion, three hundred twenty-two billion, two hundred twelve million, one hundred twenty-two thousand, one hundred".