1001100111091 has 8 divisors (see below), whose sum is σ = 1017960565104. Its totient is φ = 984254140320.

The previous prime is 1001100111079. The next prime is 1001100111107. The reversal of 1001100111091 is 1901110011001.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1001100111091 - 2¹¹ = 1001100109043 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1001100111041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3481360 + ... + 3757933.

It is an arithmetic number, because the mean of its divisors is an integer number (127245070638).

Almost surely, 2^{1001100111091} is an apocalyptic number.

1001100111091 is a deficient number, since it is larger than the sum of its proper divisors (16860454013).

1001100111091 is an equidigital number, since it uses as much as digits as its factorization.

1001100111091 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7241621.

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

Adding to 1001100111091 its reverse (1901110011001), we get a palindrome (2902210122092).

The spelling of 1001100111091 in words is "one trillion, one billion, one hundred million, one hundred eleven thousand, ninety-one".