100111000011 has 16 divisors (see below), whose sum is σ = 149551569408. Its totient is φ = 59033512800.

The previous prime is 100110999977. The next prime is 100111000039. The reversal of 100111000011 is 110000111001.

It is not a de Polignac number, because 100111000011 - 2¹³ = 100110991819 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100111000091) 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 15 ways as a sum of consecutive naturals, for example, 40994275 + ... + 40996716.

It is an arithmetic number, because the mean of its divisors is an integer number (9346973088).

Almost surely, 2^100111000011 is an apocalyptic number.

100111000011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

100111000011 is a deficient number, since it is larger than the sum of its proper divisors (49440569397).

100111000011 is a wasteful number, since it uses less digits than its factorization.

100111000011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81991042.

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

Adding to 100111000011 its reverse (110000111001), we get a palindrome (210111111012).

It can be divided in two parts, 1001 and 11000011, that multiplied together give a palindrome (11011011011).

The spelling of 100111000011 in words is "one hundred billion, one hundred eleven million, eleven", and thus it is an aban number.