12100134727601 has 2 divisors, whose sum is σ = 12100134727602. Its totient is φ = 12100134727600.

The previous prime is 12100134727529. The next prime is 12100134727613. The reversal of 12100134727601 is 10672743100121.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 11972292010000 + 127842717601 = 3460100^2 + 357551^2 .

It is a cyclic number.

It is not a de Polignac number, because 12100134727601 - 2³⁴ = 12082954858417 is a prime.

It is not a weakly prime, because it can be changed into another prime (12100134727501) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6050067363800 + 6050067363801.

It is an arithmetic number, because the mean of its divisors is an integer number (6050067363801).

Almost surely, 2^{12100134727601} is an apocalyptic number.

It is an amenable number.

12100134727601 is a deficient number, since it is larger than the sum of its proper divisors (1).

12100134727601 is an equidigital number, since it uses as much as digits as its factorization.

12100134727601 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 14112, while the sum is 35.

Adding to 12100134727601 its reverse (10672743100121), we get a palindrome (22772877827722).

The spelling of 12100134727601 in words is "twelve trillion, one hundred billion, one hundred thirty-four million, seven hundred twenty-seven thousand, six hundred one".