100011111101011 has 16 divisors (see below), whose sum is σ = 109421471139840. Its totient is φ = 90653868645120.

The previous prime is 100011111101009. The next prime is 100011111101017. The reversal of 100011111101011 is 110101111110001.

It is a happy number.

It is not a de Polignac number, because 100011111101011 - 2¹ = 100011111101009 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100011111101017) 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, 44501410 + ... + 46694728.

It is an arithmetic number, because the mean of its divisors is an integer number (6838841946240).

Almost surely, 2^{100011111101011} is an apocalyptic number.

100011111101011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

100011111101011 is a deficient number, since it is larger than the sum of its proper divisors (9410360038829).

100011111101011 is a wasteful number, since it uses less digits than its factorization.

100011111101011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2205426.

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

Adding to 100011111101011 its reverse (110101111110001), we get a palindrome (210112222211012).

The spelling of 100011111101011 in words is "one hundred trillion, eleven billion, one hundred eleven million, one hundred one thousand, eleven".