100100001111 has 16 divisors (see below), whose sum is σ = 145956011520. Its totient is φ = 60518329920.

The previous prime is 100100001091. The next prime is 100100001139. The reversal of 100100001111 is 111100001001.

It is not a de Polignac number, because 100100001111 - 2⁷ = 100100000983 is a prime.

100100001111 is a modest number, since divided by 1111 gives 1001 as remainder.

It is a self number, because there is not a number n which added to its sum of digits gives 100100001111.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100100001311) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3694735 + ... + 3721728.

It is an arithmetic number, because the mean of its divisors is an integer number (9122250720).

Almost surely, 2^100100001111 is an apocalyptic number.

100100001111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

100100001111 is a deficient number, since it is larger than the sum of its proper divisors (45856010409).

100100001111 is a wasteful number, since it uses less digits than its factorization.

100100001111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7416886.

The product of its (nonzero) digits is 1, while the sum is 6.

Adding to 100100001111 its reverse (111100001001), we get a palindrome (211200002112).

The spelling of 100100001111 in words is "one hundred billion, one hundred million, one thousand, one hundred eleven".