12112110001001 has 2 divisors, whose sum is σ = 12112110001002. Its totient is φ = 12112110001000.

The previous prime is 12112110000959. The next prime is 12112110001049. The reversal of 12112110001001 is 10010001121121.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 12109536975376 + 2573025625 = 3479876^2 + 50725^2 .

It is a cyclic number.

It is not a de Polignac number, because 12112110001001 - 2¹⁴ = 12112109984617 is a prime.

It is not a weakly prime, because it can be changed into another prime (12112112001001) 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, 6056055000500 + 6056055000501.

It is an arithmetic number, because the mean of its divisors is an integer number (6056055000501).

Almost surely, 2^{12112110001001} is an apocalyptic number.

It is an amenable number.

12112110001001 is a deficient number, since it is larger than the sum of its proper divisors (1).

12112110001001 is an equidigital number, since it uses as much as digits as its factorization.

12112110001001 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 12112110001001 its reverse (10010001121121), we get a palindrome (22122111122122).

The spelling of 12112110001001 in words is "twelve trillion, one hundred twelve billion, one hundred ten million, one thousand, one".