10442400101 has 16 divisors (see below), whose sum is σ = 12209902848. Its totient is φ = 8745235200.

The previous prime is 10442400071. The next prime is 10442400103. The reversal of 10442400101 is 10100424401.

10442400101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10442400101 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 10442400101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10442400103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31016 + ... + 147806.

It is an arithmetic number, because the mean of its divisors is an integer number (763118928).

Almost surely, 2^10442400101 is an apocalyptic number.

It is an amenable number.

10442400101 is a deficient number, since it is larger than the sum of its proper divisors (1767502747).

10442400101 is a wasteful number, since it uses less digits than its factorization.

10442400101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117092.

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 10442400101 its reverse (10100424401), we get a palindrome (20542824502).

The spelling of 10442400101 in words is "ten billion, four hundred forty-two million, four hundred thousand, one hundred one".