12200111010121 has 2 divisors, whose sum is σ = 12200111010122. Its totient is φ = 12200111010120.

The previous prime is 12200111010079. The next prime is 12200111010133. The reversal of 12200111010121 is 12101011100221.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 11059083270400 + 1141027739721 = 3325520^2 + 1068189^2 .

It is a cyclic number.

It is not a de Polignac number, because 12200111010121 - 2⁷ = 12200111009993 is a prime.

It is a super-3 number, since 3×12200111010121³ (a number of 40 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (12200111010721) 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 as a sum of consecutive naturals, namely, 6100055505060 + 6100055505061.

It is an arithmetic number, because the mean of its divisors is an integer number (6100055505061).

Almost surely, 2^{12200111010121} is an apocalyptic number.

It is an amenable number.

12200111010121 is a deficient number, since it is larger than the sum of its proper divisors (1).

12200111010121 is an equidigital number, since it uses as much as digits as its factorization.

12200111010121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 12200111010121 its reverse (12101011100221), we get a palindrome (24301122110342).

The spelling of 12200111010121 in words is "twelve trillion, two hundred billion, one hundred eleven million, ten thousand, one hundred twenty-one".