100111100011011 has 96 divisors (see below), whose sum is σ = 151452867646080. Its totient is φ = 63659014041600.

The previous prime is 100111100010847. The next prime is 100111100011067. The reversal of 100111100011011 is 110110001111001.

It is not a de Polignac number, because 100111100011011 - 2¹¹ = 100111100008963 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 100111100010984 and 100111100011002.

It is not an unprimeable number, because it can be changed into a prime (100111100015011) 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 95 ways as a sum of consecutive naturals, for example, 8605779451 + ... + 8605791083.

It is an arithmetic number, because the mean of its divisors is an integer number (1577634037980).

Almost surely, 2^{100111100011011} is an apocalyptic number.

100111100011011 is a deficient number, since it is larger than the sum of its proper divisors (51341767635069).

100111100011011 is a wasteful number, since it uses less digits than its factorization.

100111100011011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13117 (or 13114 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 9.

Adding to 100111100011011 its reverse (110110001111001), we get a palindrome (210221101122012).

The spelling of 100111100011011 in words is "one hundred trillion, one hundred eleven billion, one hundred million, eleven thousand, eleven".