100011010011 has 16 divisors (see below), whose sum is σ = 153126906240. Its totient is φ = 57422589120.

The previous prime is 100011009997. The next prime is 100011010031. The reversal of 100011010011 is 110010110001.

It is not a de Polignac number, because 100011010011 - 2⁹ = 100011009499 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100011010031) 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, 79752970 + ... + 79754223.

It is an arithmetic number, because the mean of its divisors is an integer number (9570431640).

Almost surely, 2^100011010011 is an apocalyptic number.

100011010011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

100011010011 is a deficient number, since it is larger than the sum of its proper divisors (53115896229).

100011010011 is a wasteful number, since it uses less digits than its factorization.

100011010011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159507226.

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

Adding to 100011010011 its reverse (110010110001), we get a palindrome (210021120012).

It can be divided in two parts, 1000 and 11010011, that added together give a palindrome (11011011).

The spelling of 100011010011 in words is "one hundred billion, eleven million, ten thousand, eleven".