12122112201100 has 36 divisors (see below), whose sum is σ = 28696345613208. Its totient is φ = 4408040800000.

The previous prime is 12122112201083. The next prime is 12122112201211. The reversal of 12122112201100 is 110221122121.

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 11 ways as a sum of consecutive naturals, for example, 5510049901 + ... + 5510052100.

It is an arithmetic number, because the mean of its divisors is an integer number (797120711478).

Almost surely, 2^{12122112201100} is an apocalyptic number.

12122112201100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12122112201100 is an abundant number, since it is smaller than the sum of its proper divisors (16574233412108).

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

12122112201100 is a wasteful number, since it uses less digits than its factorization.

12122112201100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11020102026 (or 11020102019 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 12122112201100 its reverse (110221122121), we get a palindrome (12232333323221).

It can be divided in two parts, 121221 and 12201100, that added together give a palindrome (12322321).

The spelling of 12122112201100 in words is "twelve trillion, one hundred twenty-two billion, one hundred twelve million, two hundred one thousand, one hundred".