1100111111001 has 64 divisors (see below), whose sum is σ = 1907049922560. Its totient is φ = 613707969600.

The previous prime is 1100111110951. The next prime is 1100111111009. The reversal of 1100111111001 is 1001111110011.

It is not a de Polignac number, because 1100111111001 - 2¹⁵ = 1100111078233 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 (1100111111009) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3370576 + ... + 3682526.

It is an arithmetic number, because the mean of its divisors is an integer number (29797655040).

Almost surely, 2^{1100111111001} is an apocalyptic number.

It is an amenable number.

1100111111001 is a deficient number, since it is larger than the sum of its proper divisors (806938811559).

1100111111001 is a wasteful number, since it uses less digits than its factorization.

1100111111001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 312411 (or 312405 counting only the distinct ones).

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

Adding to 1100111111001 its reverse (1001111110011), we get a palindrome (2101222221012).

The spelling of 1100111111001 in words is "one trillion, one hundred billion, one hundred eleven million, one hundred eleven thousand, one".