101004430241 has 64 divisors (see below), whose sum is σ = 132316208640. Its totient is φ = 75600138240.

The previous prime is 101004430213. The next prime is 101004430243. The reversal of 101004430241 is 142034400101.

It is not a de Polignac number, because 101004430241 - 2¹⁴ = 101004413857 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101004430243) 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 63 ways as a sum of consecutive naturals, for example, 6086231 + ... + 6102803.

It is an arithmetic number, because the mean of its divisors is an integer number (2067440760).

Almost surely, 2^101004430241 is an apocalyptic number.

101004430241 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101004430241 is a deficient number, since it is larger than the sum of its proper divisors (31311778399).

101004430241 is a wasteful number, since it uses less digits than its factorization.

101004430241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16746.

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 101004430241 its reverse (142034400101), we get a palindrome (243038830342).

The spelling of 101004430241 in words is "one hundred one billion, four million, four hundred thirty thousand, two hundred forty-one".