11000100991 has 32 divisors (see below), whose sum is σ = 12375207936. Its totient is φ = 9694080000.

The previous prime is 11000100973. The next prime is 11000100997. The reversal of 11000100991 is 19900100011.

It is not a de Polignac number, because 11000100991 - 2¹⁹ = 10999576703 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11000100997) 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 31 ways as a sum of consecutive naturals, for example, 11099506 + ... + 11100496.

It is an arithmetic number, because the mean of its divisors is an integer number (386725248).

Almost surely, 2^11000100991 is an apocalyptic number.

11000100991 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11000100991 is a deficient number, since it is larger than the sum of its proper divisors (1375106945).

11000100991 is a wasteful number, since it uses less digits than its factorization.

11000100991 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1303.

The product of its (nonzero) digits is 81, while the sum is 22.

The spelling of 11000100991 in words is "eleven billion, one hundred thousand, nine hundred ninety-one".