12101312312101 has 2 divisors, whose sum is σ = 12101312312102. Its totient is φ = 12101312312100.

The previous prime is 12101312312093. The next prime is 12101312312161. The reversal of 12101312312101 is 10121321310121.

12101312312101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 10070302543876 + 2031009768225 = 3173374^2 + 1425135^2 .

It is a cyclic number.

It is not a de Polignac number, because 12101312312101 - 2³ = 12101312312093 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12101312312161) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6050656156050 + 6050656156051.

It is an arithmetic number, because the mean of its divisors is an integer number (6050656156051).

Almost surely, 2^{12101312312101} is an apocalyptic number.

It is an amenable number.

12101312312101 is a deficient number, since it is larger than the sum of its proper divisors (1).

12101312312101 is an equidigital number, since it uses as much as digits as its factorization.

12101312312101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 72, while the sum is 19.

Adding to 12101312312101 its reverse (10121321310121), we get a palindrome (22222633622222).

The spelling of 12101312312101 in words is "twelve trillion, one hundred one billion, three hundred twelve million, three hundred twelve thousand, one hundred one".