100001110011 has 32 divisors (see below), whose sum is σ = 150169890816. Its totient is φ = 58659840000.

The previous prime is 100001109997. The next prime is 100001110019. The reversal of 100001110011 is 110011100001.

It is not a de Polignac number, because 100001110011 - 2¹⁸ = 100000847867 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100001110019) 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 31 ways as a sum of consecutive naturals, for example, 18811 + ... + 447611.

It is an arithmetic number, because the mean of its divisors is an integer number (4692809088).

Almost surely, 2^100001110011 is an apocalyptic number.

100001110011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

100001110011 is a deficient number, since it is larger than the sum of its proper divisors (50168780805).

100001110011 is a wasteful number, since it uses less digits than its factorization.

100001110011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 429043.

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

Adding to 100001110011 its reverse (110011100001), we get a palindrome (210012210012).

It can be divided in two parts, 100001 and 110011, that multiplied together give a palindrome (11001210011).

The spelling of 100001110011 in words is "one hundred billion, one million, one hundred ten thousand, eleven".