10443122134401 has 128 divisors (see below), whose sum is σ = 16145465720832. Its totient is φ = 5946400512000.

The previous prime is 10443122134331. The next prime is 10443122134409.

It is a happy number.

10443122134401 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 10443122134401 - 2¹³ = 10443122126209 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (10443122134409) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2129942916 + ... + 2129947818.

It is an arithmetic number, because the mean of its divisors is an integer number (126136450944).

Almost surely, 2^{10443122134401} is an apocalyptic number.

10443122134401 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10443122134401 is a deficient number, since it is larger than the sum of its proper divisors (5702343586431).

10443122134401 is a wasteful number, since it uses less digits than its factorization.

10443122134401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5423.

The product of its (nonzero) digits is 9216, while the sum is 30.

It can be divided in two parts, 1044312 and 2134401, that added together give a palindrome (3178713).

The spelling of 10443122134401 in words is "ten trillion, four hundred forty-three billion, one hundred twenty-two million, one hundred thirty-four thousand, four hundred one".