10110334401 has 12 divisors (see below), whose sum is σ = 15462864612. Its totient is φ = 6343739136.

The previous prime is 10110334393. The next prime is 10110334417. The reversal of 10110334401 is 10443301101.

10110334401 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 3481118001 + 6629216400 = 59001^2 + 81420^2 .

It is not a de Polignac number, because 10110334401 - 2³ = 10110334393 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (10110334901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 33040156 + ... + 33040461.

It is an arithmetic number, because the mean of its divisors is an integer number (1288572051).

Almost surely, 2^10110334401 is an apocalyptic number.

It is an amenable number.

10110334401 is a deficient number, since it is larger than the sum of its proper divisors (5352530211).

10110334401 is a wasteful number, since it uses less digits than its factorization.

10110334401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66080640 (or 66080637 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 10110334401 its reverse (10443301101), we get a palindrome (20553635502).

The spelling of 10110334401 in words is "ten billion, one hundred ten million, three hundred thirty-four thousand, four hundred one".