1100111091001 has 4 divisors (see below), whose sum is σ = 1184735021092. Its totient is φ = 1015487160912.

The previous prime is 1100111090999. The next prime is 1100111091007. The reversal of 1100111091001 is 1001901110011.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 82584965376 + 1017526125625 = 287376^2 + 1008725^2 .

It is a cyclic number.

It is not a de Polignac number, because 1100111091001 - 2¹ = 1100111090999 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1100111091007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 42311965026 + ... + 42311965051.

It is an arithmetic number, because the mean of its divisors is an integer number (296183755273).

Almost surely, 2^{1100111091001} is an apocalyptic number.

It is an amenable number.

1100111091001 is a deficient number, since it is larger than the sum of its proper divisors (84623930091).

1100111091001 is an equidigital number, since it uses as much as digits as its factorization.

1100111091001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84623930090.

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

The spelling of 1100111091001 in words is "one trillion, one hundred billion, one hundred eleven million, ninety-one thousand, one".