12122120100 has 144 divisors (see below), whose sum is σ = 36705650688. Its totient is φ = 3082949760.

The previous prime is 12122120063. The next prime is 12122120111. The reversal of 12122120100 is 102122121.

12122120100 is digitally balanced in base 2, 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 (12).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2529907 + ... + 2534693.

It is an arithmetic number, because the mean of its divisors is an integer number (254900352).

Almost surely, 2^12122120100 is an apocalyptic number.

12122120100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a pronic number, being equal to 110100×110101.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12122120100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18352825344).

12122120100 is an abundant number, since it is smaller than the sum of its proper divisors (24583530588).

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

12122120100 is a wasteful number, since it uses less digits than its factorization.

12122120100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5194 (or 5187 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 12122120100 its reverse (102122121), we get a palindrome (12224242221).

The spelling of 12122120100 in words is "twelve billion, one hundred twenty-two million, one hundred twenty thousand, one hundred".