12200112211121 has 2 divisors, whose sum is σ = 12200112211122. Its totient is φ = 12200112211120.

The previous prime is 12200112211081. The next prime is 12200112211123. The reversal of 12200112211121 is 12111221100221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 11357270703025 + 842841508096 = 3370055^2 + 918064^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-12200112211121 is a prime.

Together with 12200112211123, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 12200112211121.

It is not a weakly prime, because it can be changed into another prime (12200112211123) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6100056105560 + 6100056105561.

It is an arithmetic number, because the mean of its divisors is an integer number (6100056105561).

Almost surely, 2^{12200112211121} is an apocalyptic number.

It is an amenable number.

12200112211121 is a deficient number, since it is larger than the sum of its proper divisors (1).

12200112211121 is an equidigital number, since it uses as much as digits as its factorization.

12200112211121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 12200112211121 its reverse (12111221100221), we get a palindrome (24311333311342).

The spelling of 12200112211121 in words is "twelve trillion, two hundred billion, one hundred twelve million, two hundred eleven thousand, one hundred twenty-one".