100041120 has 72 divisors (see below), whose sum is σ = 341395236. Its totient is φ = 26677248.

The previous prime is 100041083. The next prime is 100041127. The reversal of 100041120 is 21140001.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 99920016 + 121104 = 9996^2 + 348^2 .

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 (9).

It is not an unprimeable number, because it can be changed into a prime (100041127) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 33297 + ... + 36176.

Almost surely, 2^100041120 is an apocalyptic number.

100041120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100041120 is an abundant number, since it is smaller than the sum of its proper divisors (241354116).

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

100041120 is a wasteful number, since it uses less digits than its factorization.

100041120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69494 (or 69483 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 100041120 is about 10002.0557886866. The cubic root of 100041120 is about 464.2224953539. Note that the first 3 decimals are identical.

Adding to 100041120 its reverse (21140001), we get a palindrome (121181121).

The spelling of 100041120 in words is "one hundred million, forty-one thousand, one hundred twenty".