10003122003101 has 2 divisors, whose sum is σ = 10003122003102. Its totient is φ = 10003122003100.

The previous prime is 10003122003089. The next prime is 10003122003139. The reversal of 10003122003101 is 10130022130001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9312103877476 + 691018125625 = 3051574^2 + 831275^2 .

It is a cyclic number.

It is not a de Polignac number, because 10003122003101 - 2¹⁴ = 10003121986717 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10003122000101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5001561001550 + 5001561001551.

It is an arithmetic number, because the mean of its divisors is an integer number (5001561001551).

Almost surely, 2^{10003122003101} is an apocalyptic number.

It is an amenable number.

10003122003101 is a deficient number, since it is larger than the sum of its proper divisors (1).

10003122003101 is an equidigital number, since it uses as much as digits as its factorization.

10003122003101 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 14.

Adding to 10003122003101 its reverse (10130022130001), we get a palindrome (20133144133102).

The spelling of 10003122003101 in words is "ten trillion, three billion, one hundred twenty-two million, three thousand, one hundred one".