12200011002121 has 2 divisors, whose sum is σ = 12200011002122. Its totient is φ = 12200011002120.

The previous prime is 12200011002097. The next prime is 12200011002181. The reversal of 12200011002121 is 12120011000221.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 11758863974400 + 441147027721 = 3429120^2 + 664189^2 .

It is a cyclic number.

It is not a de Polignac number, because 12200011002121 - 2¹⁵ = 12200010969353 is a prime.

It is not a weakly prime, because it can be changed into another prime (12200011002181) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6100005501060 + 6100005501061.

It is an arithmetic number, because the mean of its divisors is an integer number (6100005501061).

Almost surely, 2^{12200011002121} is an apocalyptic number.

It is an amenable number.

12200011002121 is a deficient number, since it is larger than the sum of its proper divisors (1).

12200011002121 is an equidigital number, since it uses as much as digits as its factorization.

12200011002121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 12200011002121 its reverse (12120011000221), we get a palindrome (24320022002342).

The spelling of 12200011002121 in words is "twelve trillion, two hundred billion, eleven million, two thousand, one hundred twenty-one".