12112100101001 has 2 divisors, whose sum is σ = 12112100101002. Its totient is φ = 12112100101000.

The previous prime is 12112100100979. The next prime is 12112100101021. The reversal of 12112100101001 is 10010100121121.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9767906383225 + 2344193717776 = 3125365^2 + 1531076^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-12112100101001 is a prime.

It is not a weakly prime, because it can be changed into another prime (12112100101021) 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, 6056050050500 + 6056050050501.

It is an arithmetic number, because the mean of its divisors is an integer number (6056050050501).

Almost surely, 2^{12112100101001} is an apocalyptic number.

It is an amenable number.

12112100101001 is a deficient number, since it is larger than the sum of its proper divisors (1).

12112100101001 is an equidigital number, since it uses as much as digits as its factorization.

12112100101001 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 12112100101001 its reverse (10010100121121), we get a palindrome (22122200222122).

The spelling of 12112100101001 in words is "twelve trillion, one hundred twelve billion, one hundred million, one hundred one thousand, one".