101003101441 has 8 divisors (see below), whose sum is σ = 110646230400. Its totient is φ = 91436810640.

The previous prime is 101003101429. The next prime is 101003101447. The reversal of 101003101441 is 144101300101.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 101003101441 - 2³³ = 92413166849 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101003101447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19206786 + ... + 19212043.

It is an arithmetic number, because the mean of its divisors is an integer number (13830778800).

Almost surely, 2^101003101441 is an apocalyptic number.

101003101441 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101003101441 is a deficient number, since it is larger than the sum of its proper divisors (9643128959).

101003101441 is a wasteful number, since it uses less digits than its factorization.

101003101441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38419079.

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 101003101441 its reverse (144101300101), we get a palindrome (245104401542).

The spelling of 101003101441 in words is "one hundred one billion, three million, one hundred one thousand, four hundred forty-one".