12122221101100 has 144 divisors (see below), whose sum is σ = 30506034988800. Its totient is φ = 4134728160000.

The previous prime is 12122221101079. The next prime is 12122221101131. The reversal of 12122221101100 is 110112222121.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 760440 + ... + 4982239.

It is an arithmetic number, because the mean of its divisors is an integer number (211847465200).

Almost surely, 2^{12122221101100} is an apocalyptic number.

12122221101100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12122221101100 is an abundant number, since it is smaller than the sum of its proper divisors (18383813887700).

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

12122221101100 is a wasteful number, since it uses less digits than its factorization.

12122221101100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5742824 (or 5742817 counting only the distinct ones).

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

Adding to 12122221101100 its reverse (110112222121), we get a palindrome (12232333323221).

The spelling of 12122221101100 in words is "twelve trillion, one hundred twenty-two billion, two hundred twenty-one million, one hundred one thousand, one hundred".