12200100011121 has 16 divisors (see below), whose sum is σ = 18225210829248. Its totient is φ = 7194162168000.

The previous prime is 12200100011063. The next prime is 12200100011159. The reversal of 12200100011121 is 12111000100221.

It is not a de Polignac number, because 12200100011121 - 2¹⁷ = 12200099880049 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12200100011097 and 12200100011106.

It is not an unprimeable number, because it can be changed into a prime (12200100011191) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 4995944730 + ... + 4995947171.

It is an arithmetic number, because the mean of its divisors is an integer number (1139075676828).

Almost surely, 2^{12200100011121} is an apocalyptic number.

12200100011121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12200100011121 is a deficient number, since it is larger than the sum of its proper divisors (6025110818127).

12200100011121 is a wasteful number, since it uses less digits than its factorization.

12200100011121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9991891952.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 12200100011121 its reverse (12111000100221), we get a palindrome (24311100111342).

The spelling of 12200100011121 in words is "twelve trillion, two hundred billion, one hundred million, eleven thousand, one hundred twenty-one".