10015441101 has 48 divisors (see below), whose sum is σ = 16060262400. Its totient is φ = 6218160048.

The previous prime is 10015441049. The next prime is 10015441153. The reversal of 10015441101 is 10114451001.

10015441101 is a `hidden beast` number, since 10 + 0 + 1 + 544 + 110 + 1 = 666.

10015441101 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10015441049) and next prime (10015441153).

It is not a de Polignac number, because 10015441101 - 2¹⁰ = 10015440077 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10015441181) 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 47 ways as a sum of consecutive naturals, for example, 254020 + ... + 290786.

It is an arithmetic number, because the mean of its divisors is an integer number (334588800).

Almost surely, 2^10015441101 is an apocalyptic number.

It is an amenable number.

10015441101 is a deficient number, since it is larger than the sum of its proper divisors (6044821299).

10015441101 is an equidigital number, since it uses as much as digits as its factorization.

10015441101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36860 (or 36848 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 18.

Adding to 10015441101 its reverse (10114451001), we get a palindrome (20129892102).

The spelling of 10015441101 in words is "ten billion, fifteen million, four hundred forty-one thousand, one hundred one".