10000034310401 has 2 divisors, whose sum is σ = 10000034310402. Its totient is φ = 10000034310400.

The previous prime is 10000034310379. The next prime is 10000034310421. The reversal of 10000034310401 is 10401343000001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9106054605376 + 893979705025 = 3017624^2 + 945505^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10000034310401 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10000034310401.

It is not a weakly prime, because it can be changed into another prime (10000034310421) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5000017155200 + 5000017155201.

It is an arithmetic number, because the mean of its divisors is an integer number (5000017155201).

Almost surely, 2^{10000034310401} is an apocalyptic number.

It is an amenable number.

10000034310401 is a deficient number, since it is larger than the sum of its proper divisors (1).

10000034310401 is an equidigital number, since it uses as much as digits as its factorization.

10000034310401 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 10000034310401 its reverse (10401343000001), we get a palindrome (20401377310402).

The spelling of 10000034310401 in words is "ten trillion, thirty-four million, three hundred ten thousand, four hundred one".