12112121010001 has 2 divisors, whose sum is σ = 12112121010002. Its totient is φ = 12112121010000.

The previous prime is 12112121009881. The next prime is 12112121010079. The reversal of 12112121010001 is 10001012121121.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8030428107601 + 4081692902400 = 2833801^2 + 2020320^2 .

It is a cyclic number.

It is not a de Polignac number, because 12112121010001 - 2¹¹ = 12112121007953 is a prime.

It is not a weakly prime, because it can be changed into another prime (12112121010601) 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, 6056060505000 + 6056060505001.

It is an arithmetic number, because the mean of its divisors is an integer number (6056060505001).

Almost surely, 2^{12112121010001} is an apocalyptic number.

It is an amenable number.

12112121010001 is a deficient number, since it is larger than the sum of its proper divisors (1).

12112121010001 is an equidigital number, since it uses as much as digits as its factorization.

12112121010001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 12112121010001 its reverse (10001012121121), we get a palindrome (22113133131122).

The spelling of 12112121010001 in words is "twelve trillion, one hundred twelve billion, one hundred twenty-one million, ten thousand, one".