111001101011109 has 72 divisors (see below), whose sum is σ = 173874863710080. Its totient is φ = 68178364946496.

The previous prime is 111001101011057. The next prime is 111001101011117. The reversal of 111001101011109 is 901110101100111.

It is not a de Polignac number, because 111001101011109 - 2⁷ = 111001101010981 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 111001101011091 and 111001101011100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111001101011509) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 250663312 + ... + 251105750.

It is an arithmetic number, because the mean of its divisors is an integer number (2414928662640).

Almost surely, 2^{111001101011109} is an apocalyptic number.

111001101011109 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

It is an amenable number.

111001101011109 is a deficient number, since it is larger than the sum of its proper divisors (62873762698971).

111001101011109 is a wasteful number, since it uses less digits than its factorization.

111001101011109 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 444607 (or 444585 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 18.

The spelling of 111001101011109 in words is "one hundred eleven trillion, one billion, one hundred one million, eleven thousand, one hundred nine".