1101110111001 has 16 divisors (see below), whose sum is σ = 1634907384000. Its totient is φ = 732438491904.

The previous prime is 1101110110999. The next prime is 1101110111027. The reversal of 1101110111001 is 1001110111011.

It is not a de Polignac number, because 1101110111001 - 2¹ = 1101110110999 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (1101110111701) 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, 45401971 + ... + 45426216.

It is an arithmetic number, because the mean of its divisors is an integer number (102181711500).

Almost surely, 2^{1101110111001} is an apocalyptic number.

It is an amenable number.

1101110111001 is a deficient number, since it is larger than the sum of its proper divisors (533797272999).

1101110111001 is an equidigital number, since it uses as much as digits as its factorization.

1101110111001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90828645 (or 90828639 counting only the distinct ones).

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

Adding to 1101110111001 its reverse (1001110111011), we get a palindrome (2102220222012).

It can be divided in two parts, 110111011 and 1001, that multiplied together give a palindrome (110221122011).

The spelling of 1101110111001 in words is "one trillion, one hundred one billion, one hundred ten million, one hundred eleven thousand, one".