100111101011 has 16 divisors (see below), whose sum is σ = 104465350080. Its totient is φ = 95864724480.

The previous prime is 100111101001. The next prime is 100111101031. The reversal of 100111101011 is 110101111001.

It is a cyclic number.

It is not a de Polignac number, because 100111101011 - 2³⁴ = 82931231827 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 100111101011.

It is not an unprimeable number, because it can be changed into a prime (100111101001) 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, 372305 + ... + 582093.

It is an arithmetic number, because the mean of its divisors is an integer number (6529084380).

Almost surely, 2^100111101011 is an apocalyptic number.

100111101011 is a deficient number, since it is larger than the sum of its proper divisors (4354249069).

100111101011 is a wasteful number, since it uses less digits than its factorization.

100111101011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210046.

The product of its (nonzero) digits is 1, while the sum is 8.

Adding to 100111101011 its reverse (110101111001), we get a palindrome (210212212012).

It can be divided in two parts, 100 and 111101011, that added together give a palindrome (111101111).

The spelling of 100111101011 in words is "one hundred billion, one hundred eleven million, one hundred one thousand, eleven".