1101100111001 has 16 divisors (see below), whose sum is σ = 1213367102208. Its totient is φ = 990875470800.

The previous prime is 1101100110991. The next prime is 1101100111021. The reversal of 1101100111001 is 1001110011011.

It is a cyclic number.

It is not a de Polignac number, because 1101100111001 - 2²⁶ = 1101033002137 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1101100111001.

It is not an unprimeable number, because it can be changed into a prime (1101100111021) 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, 1157186 + ... + 1881828.

It is an arithmetic number, because the mean of its divisors is an integer number (75835443888).

Almost surely, 2^{1101100111001} is an apocalyptic number.

1101100111001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1101100111001 is a deficient number, since it is larger than the sum of its proper divisors (112266991207).

1101100111001 is a wasteful number, since it uses less digits than its factorization.

1101100111001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 726052.

The product of its (nonzero) digits is 1, while the sum is 8.

Adding to 1101100111001 its reverse (1001110011011), we get a palindrome (2102210122012).

The spelling of 1101100111001 in words is "one trillion, one hundred one billion, one hundred million, one hundred eleven thousand, one".