111001001101011 has 24 divisors (see below), whose sum is σ = 183240690104160. Its totient is φ = 63428817321216.

The previous prime is 111001001100991. The next prime is 111001001101013. The reversal of 111001001101011 is 110101100100111.

It is not a de Polignac number, because 111001001101011 - 2³⁸ = 110726123194067 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 = 111001001100984 and 111001001101002.

It is not an unprimeable number, because it can be changed into a prime (111001001101013) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8095825 + ... + 16957133.

It is an arithmetic number, because the mean of its divisors is an integer number (7635028754340).

Almost surely, 2^{111001001101011} is an apocalyptic number.

111001001101011 is a deficient number, since it is larger than the sum of its proper divisors (72239689003149).

111001001101011 is a wasteful number, since it uses less digits than its factorization.

111001001101011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9060155 (or 9060152 counting only the distinct ones).

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

Adding to 111001001101011 its reverse (110101100100111), we get a palindrome (221102101201122).

The spelling of 111001001101011 in words is "one hundred eleven trillion, one billion, one million, one hundred one thousand, eleven".