12100010107001 has 2 divisors, whose sum is σ = 12100010107002. Its totient is φ = 12100010107000.

The previous prime is 12100010106929. The next prime is 12100010107013. The reversal of 12100010107001 is 10070101000121.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 11717449301776 + 382560805225 = 3423076^2 + 618515^2 .

It is a cyclic number.

It is not a de Polignac number, because 12100010107001 - 2¹⁰ = 12100010105977 is a prime.

It is not a weakly prime, because it can be changed into another prime (12100010107051) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6050005053500 + 6050005053501.

It is an arithmetic number, because the mean of its divisors is an integer number (6050005053501).

Almost surely, 2^{12100010107001} is an apocalyptic number.

It is an amenable number.

12100010107001 is a deficient number, since it is larger than the sum of its proper divisors (1).

12100010107001 is an equidigital number, since it uses as much as digits as its factorization.

12100010107001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 14, while the sum is 14.

Adding to 12100010107001 its reverse (10070101000121), we get a palindrome (22170111107122).

The spelling of 12100010107001 in words is "twelve trillion, one hundred billion, ten million, one hundred seven thousand, one".