111001111101011 has 8 divisors (see below), whose sum is σ = 112407102448320. Its totient is φ = 109595142603648.

The previous prime is 111001111100977. The next prime is 111001111101031. The reversal of 111001111101011 is 110101111100111.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 111001111101011 - 2³⁰ = 111000037359187 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 111001111100983 and 111001111101001.

It is not an unprimeable number, because it can be changed into a prime (111001111101031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4172345 + ... + 15472901.

It is an arithmetic number, because the mean of its divisors is an integer number (14050887806040).

Almost surely, 2^{111001111101011} is an apocalyptic number.

111001111101011 is a deficient number, since it is larger than the sum of its proper divisors (1405991347309).

111001111101011 is a wasteful number, since it uses less digits than its factorization.

111001111101011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11424973.

The product of its (nonzero) digits is 1, while the sum is 11.

Adding to 111001111101011 its reverse (110101111100111), we get a palindrome (221102222201122).

It can be divided in two parts, 11100111 and 1101011, that multiplied together give a palindrome (12221344312221).

The spelling of 111001111101011 in words is "one hundred eleven trillion, one billion, one hundred eleven million, one hundred one thousand, eleven".