10401331121297 has 2 divisors, whose sum is σ = 10401331121298. Its totient is φ = 10401331121296.

The previous prime is 10401331121221. The next prime is 10401331121327. The reversal of 10401331121297 is 79212113310401.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9070240515856 + 1331090605441 = 3011684^2 + 1153729^2 .

It is a cyclic number.

It is not a de Polignac number, because 10401331121297 - 2¹⁰ = 10401331120273 is a prime.

It is not a weakly prime, because it can be changed into another prime (10401331121897) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5200665560648 + 5200665560649.

It is an arithmetic number, because the mean of its divisors is an integer number (5200665560649).

Almost surely, 2^{10401331121297} is an apocalyptic number.

It is an amenable number.

10401331121297 is a deficient number, since it is larger than the sum of its proper divisors (1).

10401331121297 is an equidigital number, since it uses as much as digits as its factorization.

10401331121297 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 9072, while the sum is 35.

Adding to 10401331121297 its reverse (79212113310401), we get a palindrome (89613444431698).

The spelling of 10401331121297 in words is "ten trillion, four hundred one billion, three hundred thirty-one million, one hundred twenty-one thousand, two hundred ninety-seven".