122132132201100 has 432 divisors, whose sum is σ = 412579721207808. Its totient is φ = 27812995338240.

The previous prime is 122132132201029. The next prime is 122132132201129. The reversal of 122132132201100 is 1102231231221.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 5444295484 + ... + 5444317916.

It is an arithmetic number, because the mean of its divisors is an integer number (955045650944).

Almost surely, 2^{122132132201100} is an apocalyptic number.

122132132201100 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 122132132201100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206289860603904).

122132132201100 is an abundant number, since it is smaller than the sum of its proper divisors (290447589006708).

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

122132132201100 is a wasteful number, since it uses less digits than its factorization.

122132132201100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23814 (or 23800 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 122132132201100 its reverse (1102231231221), we get a palindrome (123234363432321).

The spelling of 122132132201100 in words is "one hundred twenty-two trillion, one hundred thirty-two billion, one hundred thirty-two million, two hundred one thousand, one hundred".