1100055100991 has 24 divisors (see below), whose sum is σ = 1381975633920. Its totient is φ = 857131062480.

The previous prime is 1100055100961. The next prime is 1100055101023. The reversal of 1100055100991 is 1990015500011.

It is a de Polignac number, because none of the positive numbers 2^k-1100055100991 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1100055100901) 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 23 ways as a sum of consecutive naturals, for example, 17721290 + ... + 17783256.

It is an arithmetic number, because the mean of its divisors is an integer number (57582318080).

Almost surely, 2^{1100055100991} is an apocalyptic number.

1100055100991 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1100055100991 is a deficient number, since it is larger than the sum of its proper divisors (281920532929).

1100055100991 is a wasteful number, since it uses less digits than its factorization.

1100055100991 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82955 (or 82944 counting only the distinct ones).

The product of its (nonzero) digits is 2025, while the sum is 32.

The spelling of 1100055100991 in words is "one trillion, one hundred billion, fifty-five million, one hundred thousand, nine hundred ninety-one".