100041011424 has 72 divisors (see below), whose sum is σ = 284582909520. Its totient is φ = 33336304128.

The previous prime is 100041011387. The next prime is 100041011459. The reversal of 100041011424 is 424110140001.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 100041011397 and 100041011406.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 870069 + ... + 978315.

It is an arithmetic number, because the mean of its divisors is an integer number (3952540410).

Almost surely, 2^100041011424 is an apocalyptic number.

It is an amenable number.

100041011424 is an abundant number, since it is smaller than the sum of its proper divisors (184541898096).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

100041011424 is a wasteful number, since it uses less digits than its factorization.

100041011424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111472 (or 111461 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 100041011424 its reverse (424110140001), we get a palindrome (524151151425).

The spelling of 100041011424 in words is "one hundred billion, forty-one million, eleven thousand, four hundred twenty-four".