12100110001121 has 2 divisors, whose sum is σ = 12100110001122. Its totient is φ = 12100110001120.

The previous prime is 12100110001039. The next prime is 12100110001157. The reversal of 12100110001121 is 12110001100121.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 11551236461521 + 548873539600 = 3398711^2 + 740860^2 .

It is a cyclic number.

It is not a de Polignac number, because 12100110001121 - 2²⁶ = 12100042892257 is a prime.

It is not a weakly prime, because it can be changed into another prime (12100110001171) 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, 6050055000560 + 6050055000561.

It is an arithmetic number, because the mean of its divisors is an integer number (6050055000561).

Almost surely, 2^{12100110001121} is an apocalyptic number.

It is an amenable number.

12100110001121 is a deficient number, since it is larger than the sum of its proper divisors (1).

12100110001121 is an equidigital number, since it uses as much as digits as its factorization.

12100110001121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 12100110001121 its reverse (12110001100121), we get a palindrome (24210111101242).

The spelling of 12100110001121 in words is "twelve trillion, one hundred billion, one hundred ten million, one thousand, one hundred twenty-one".