100111111111 has 8 divisors (see below), whose sum is σ = 112735093248. Its totient is φ = 88074291000.

The previous prime is 100111111109. The next prime is 100111111123. The reversal of 100111111111 is 111111111001.

It is a happy number.

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 100111111111 - 2¹ = 100111111109 is a prime.

It is a Duffinian number.

100111111111 is a modest number, since divided by 111111 gives 100111 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100111112111) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 146790145 + ... + 146790826.

It is an arithmetic number, because the mean of its divisors is an integer number (14091886656).

Almost surely, 2^100111111111 is an apocalyptic number.

100111111111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

100111111111 is a deficient number, since it is larger than the sum of its proper divisors (12623982137).

100111111111 is a wasteful number, since it uses less digits than its factorization.

100111111111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 293581013.

The product of its (nonzero) digits is 1, while the sum is 10.

Adding to 100111111111 its reverse (111111111001), we get a palindrome (211222222112).

It can be divided in two parts, 1001 and 11111111, that multiplied together give a palindrome (11122222111).

The spelling of 100111111111 in words is "one hundred billion, one hundred eleven million, one hundred eleven thousand, one hundred eleven".