100111001111011 has 16 divisors (see below), whose sum is σ = 110873442867840. Its totient is φ = 89626236194880.

The previous prime is 100111001110937. The next prime is 100111001111021. The reversal of 100111001111011 is 110111100111001.

It is a happy number.

It is not a de Polignac number, because 100111001111011 - 2²⁹ = 100110464240099 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100111001111021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16644781 + ... + 21846526.

It is an arithmetic number, because the mean of its divisors is an integer number (6929590179240).

Almost surely, 2^{100111001111011} is an apocalyptic number.

100111001111011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

100111001111011 is a deficient number, since it is larger than the sum of its proper divisors (10762441756829).

100111001111011 is a wasteful number, since it uses less digits than its factorization.

100111001111011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38494914.

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

Adding to 100111001111011 its reverse (110111100111001), we get a palindrome (210222101222012).

It can be divided in two parts, 10011100 and 1111011, that added together give a palindrome (11122111).

The spelling of 100111001111011 in words is "one hundred trillion, one hundred eleven billion, one million, one hundred eleven thousand, eleven".