12112121010601 has 2 divisors, whose sum is σ = 12112121010602. Its totient is φ = 12112121010600.

The previous prime is 12112121010593. The next prime is 12112121010611. The reversal of 12112121010601 is 10601012121121.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 11733200741376 + 378920269225 = 3425376^2 + 615565^2 .

It is a cyclic number.

It is not a de Polignac number, because 12112121010601 - 2³ = 12112121010593 is a prime.

It is not a weakly prime, because it can be changed into another prime (12112121010611) 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, 6056060505300 + 6056060505301.

It is an arithmetic number, because the mean of its divisors is an integer number (6056060505301).

Almost surely, 2^{12112121010601} is an apocalyptic number.

It is an amenable number.

12112121010601 is a deficient number, since it is larger than the sum of its proper divisors (1).

12112121010601 is an equidigital number, since it uses as much as digits as its factorization.

12112121010601 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 48, while the sum is 19.

Adding to 12112121010601 its reverse (10601012121121), we get a palindrome (22713133131722).

The spelling of 12112121010601 in words is "twelve trillion, one hundred twelve billion, one hundred twenty-one million, ten thousand, six hundred one".