100041111 has 6 divisors (see below), whose sum is σ = 144503840. Its totient is φ = 66694068.

The previous prime is 100041083. The next prime is 100041127. The reversal of 100041111 is 111140001.

It is not a de Polignac number, because 100041111 - 2⁹ = 100040599 is a prime.

It is a super-2 number, since 2×100041111² = 20016447780228642, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9), and also a Moran number because the ratio is a prime number: 11115679 = 100041111 / (1 + 0 + 0 + 0 + 4 + 1 + 1 + 1 + 1).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100041093 and 100041102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100041811) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5557831 + ... + 5557848.

Almost surely, 2^100041111 is an apocalyptic number.

100041111 is a deficient number, since it is larger than the sum of its proper divisors (44462729).

100041111 is a wasteful number, since it uses less digits than its factorization.

100041111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11115685 (or 11115682 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

The square root of 100041111 is about 10002.0553387791. The cubic root of 100041111 is about 464.2224814330. Note that the first 3 decimals are identical.

Adding to 100041111 its reverse (111140001), we get a palindrome (211181112).

The spelling of 100041111 in words is "one hundred million, forty-one thousand, one hundred eleven".