100001111111 has 8 divisors (see below), whose sum is σ = 110172242448. Its totient is φ = 90010000000.

The previous prime is 100001111057. The next prime is 100001111129. The reversal of 100001111111 is 111111100001.

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 100001111111 - 2¹⁸ = 100000848967 is a prime.

It is a Duffinian number.

100001111111 is a modest number, since divided by 111111 gives 100001 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100001111141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 45003890 + ... + 45006111.

It is an arithmetic number, because the mean of its divisors is an integer number (13771530306).

Almost surely, 2^100001111111 is an apocalyptic number.

100001111111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

100001111111 is a deficient number, since it is larger than the sum of its proper divisors (10171131337).

100001111111 is a wasteful number, since it uses less digits than its factorization.

100001111111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90010113.

The product of its (nonzero) digits is 1, while the sum is 8.

Adding to 100001111111 its reverse (111111100001), we get a palindrome (211112211112).

It can be divided in two parts, 100001 and 111111, that multiplied together give a palindrome (11111211111).

The spelling of 100001111111 in words is "one hundred billion, one million, one hundred eleven thousand, one hundred eleven".