10401331121897 has 2 divisors, whose sum is σ = 10401331121898. Its totient is φ = 10401331121896.

The previous prime is 10401331121891. The next prime is 10401331121899. The reversal of 10401331121897 is 79812113310401.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7897021706896 + 2504309415001 = 2810164^2 + 1582501^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10401331121897 is a prime.

Together with 10401331121899, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (10401331121891) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5200665560948 + 5200665560949.

It is an arithmetic number, because the mean of its divisors is an integer number (5200665560949).

Almost surely, 2^{10401331121897} is an apocalyptic number.

It is an amenable number.

10401331121897 is a deficient number, since it is larger than the sum of its proper divisors (1).

10401331121897 is an equidigital number, since it uses as much as digits as its factorization.

10401331121897 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 36288, while the sum is 41.

The spelling of 10401331121897 in words is "ten trillion, four hundred one billion, three hundred thirty-one million, one hundred twenty-one thousand, eight hundred ninety-seven".