110101111009 has 16 divisors (see below), whose sum is σ = 112564060560. Its totient is φ = 107653029120.

The previous prime is 110101111007. The next prime is 110101111027. The reversal of 110101111009 is 900111101011.

It can be written as a sum of positive squares in 8 ways, for example, as 1688963409 + 108412147600 = 41097^2 + 329260^2 .

It is a cyclic number.

It is not a de Polignac number, because 110101111009 - 2¹ = 110101111007 is a prime.

It is a super-2 number, since 2×110101111009² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 110101110983 and 110101111001.

It is not an unprimeable number, because it can be changed into a prime (110101111007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27599187 + ... + 27603175.

It is an arithmetic number, because the mean of its divisors is an integer number (7035253785).

Almost surely, 2^110101111009 is an apocalyptic number.

It is an amenable number.

110101111009 is a deficient number, since it is larger than the sum of its proper divisors (2462949551).

110101111009 is a wasteful number, since it uses less digits than its factorization.

110101111009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5700.

The product of its (nonzero) digits is 9, while the sum is 16.

The spelling of 110101111009 in words is "one hundred ten billion, one hundred one million, one hundred eleven thousand, nine".