10000101320401 has 2 divisors, whose sum is σ = 10000101320402. Its totient is φ = 10000101320400.

The previous prime is 10000101320393. The next prime is 10000101320467. The reversal of 10000101320401 is 10402310100001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8011028301376 + 1989073019025 = 2830376^2 + 1410345^2 .

It is an emirp because it is prime and its reverse (10402310100001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10000101320401 - 2³ = 10000101320393 is a prime.

It is not a weakly prime, because it can be changed into another prime (10000101320471) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5000050660200 + 5000050660201.

It is an arithmetic number, because the mean of its divisors is an integer number (5000050660201).

Almost surely, 2^{10000101320401} is an apocalyptic number.

It is an amenable number.

10000101320401 is a deficient number, since it is larger than the sum of its proper divisors (1).

10000101320401 is an equidigital number, since it uses as much as digits as its factorization.

10000101320401 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 10000101320401 its reverse (10402310100001), we get a palindrome (20402411420402).

The spelling of 10000101320401 in words is "ten trillion, one hundred one million, three hundred twenty thousand, four hundred one".