101104444441 has 36 divisors (see below), whose sum is σ = 139219576356. Its totient is φ = 72722422080.

The previous prime is 101104444391. The next prime is 101104444451. The reversal of 101104444441 is 144444401101.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 62702163216 + 38402281225 = 250404^2 + 195965^2 .

It is not a de Polignac number, because 101104444441 - 2¹¹ = 101104442393 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101104444451) 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 35 ways as a sum of consecutive naturals, for example, 578790 + ... + 732943.

Almost surely, 2^101104444441 is an apocalyptic number.

101104444441 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101104444441 is a deficient number, since it is larger than the sum of its proper divisors (38115131915).

101104444441 is a wasteful number, since it uses less digits than its factorization.

101104444441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1311782 (or 1311764 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 28.

Adding to 101104444441 its reverse (144444401101), we get a palindrome (245548845542).

It can be divided in two parts, 101104 and 444441, that added together give a palindrome (545545).

The spelling of 101104444441 in words is "one hundred one billion, one hundred four million, four hundred forty-four thousand, four hundred forty-one".