12310101123101 has 2 divisors, whose sum is σ = 12310101123102. Its totient is φ = 12310101123100.

The previous prime is 12310101123077. The next prime is 12310101123121. The reversal of 12310101123101 is 10132110101321.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9720994858201 + 2589106264900 = 3117851^2 + 1609070^2 .

It is a cyclic number.

It is not a de Polignac number, because 12310101123101 - 2³⁴ = 12292921253917 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 12310101123101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12310101123121) 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, 6155050561550 + 6155050561551.

It is an arithmetic number, because the mean of its divisors is an integer number (6155050561551).

Almost surely, 2^{12310101123101} is an apocalyptic number.

It is an amenable number.

12310101123101 is a deficient number, since it is larger than the sum of its proper divisors (1).

12310101123101 is an equidigital number, since it uses as much as digits as its factorization.

12310101123101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 36, while the sum is 17.

Adding to 12310101123101 its reverse (10132110101321), we get a palindrome (22442211224422).

The spelling of 12310101123101 in words is "twelve trillion, three hundred ten billion, one hundred one million, one hundred twenty-three thousand, one hundred one".