12200121102121 has 2 divisors, whose sum is σ = 12200121102122. Its totient is φ = 12200121102120.

The previous prime is 12200121102089. The next prime is 12200121102149. The reversal of 12200121102121 is 12120112100221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 11272376494096 + 927744608025 = 3357436^2 + 963195^2 .

It is a cyclic number.

It is not a de Polignac number, because 12200121102121 - 2⁵ = 12200121102089 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12200121102095 and 12200121102104.

It is not a weakly prime, because it can be changed into another prime (12200122102121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6100060551060 + 6100060551061.

It is an arithmetic number, because the mean of its divisors is an integer number (6100060551061).

Almost surely, 2^{12200121102121} is an apocalyptic number.

It is an amenable number.

12200121102121 is a deficient number, since it is larger than the sum of its proper divisors (1).

12200121102121 is an equidigital number, since it uses as much as digits as its factorization.

12200121102121 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 16.

Adding to 12200121102121 its reverse (12120112100221), we get a palindrome (24320233202342).

The spelling of 12200121102121 in words is "twelve trillion, two hundred billion, one hundred twenty-one million, one hundred two thousand, one hundred twenty-one".