12112000101601 has 2 divisors, whose sum is σ = 12112000101602. Its totient is φ = 12112000101600.

The previous prime is 12112000101529. The next prime is 12112000101629. The reversal of 12112000101601 is 10610100021121.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9392073493201 + 2719926608400 = 3064649^2 + 1649220^2 .

It is a cyclic number.

It is not a de Polignac number, because 12112000101601 - 2³⁷ = 11974561148129 is a prime.

It is a super-2 number, since 2×12112000101601² (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (12112000101701) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6056000050800 + 6056000050801.

It is an arithmetic number, because the mean of its divisors is an integer number (6056000050801).

Almost surely, 2^{12112000101601} is an apocalyptic number.

It is an amenable number.

12112000101601 is a deficient number, since it is larger than the sum of its proper divisors (1).

12112000101601 is an equidigital number, since it uses as much as digits as its factorization.

12112000101601 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 24, while the sum is 16.

Adding to 12112000101601 its reverse (10610100021121), we get a palindrome (22722100122722).

The spelling of 12112000101601 in words is "twelve trillion, one hundred twelve billion, one hundred one thousand, six hundred one".