10001123301121 has 2 divisors, whose sum is σ = 10001123301122. Its totient is φ = 10001123301120.

The previous prime is 10001123301119. The next prime is 10001123301151. The reversal of 10001123301121 is 12110332110001.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8220262410000 + 1780860891121 = 2867100^2 + 1334489^2 .

It is a cyclic number.

It is not a de Polignac number, because 10001123301121 - 2¹ = 10001123301119 is a prime.

Together with 10001123301119, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 10001123301095 and 10001123301104.

It is not a weakly prime, because it can be changed into another prime (10001123301151) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5000561650560 + 5000561650561.

It is an arithmetic number, because the mean of its divisors is an integer number (5000561650561).

Almost surely, 2^{10001123301121} is an apocalyptic number.

It is an amenable number.

10001123301121 is a deficient number, since it is larger than the sum of its proper divisors (1).

10001123301121 is an equidigital number, since it uses as much as digits as its factorization.

10001123301121 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 36, while the sum is 16.

Adding to 10001123301121 its reverse (12110332110001), we get a palindrome (22111455411122).

The spelling of 10001123301121 in words is "ten trillion, one billion, one hundred twenty-three million, three hundred one thousand, one hundred twenty-one".