1101100103191 has 12 divisors (see below), whose sum is σ = 1208614969800. Its totient is φ = 994858724880.

The previous prime is 1101100103183. The next prime is 1101100103197. The reversal of 1101100103191 is 1913010011011.

It is a happy number.

It is not a de Polignac number, because 1101100103191 - 2³ = 1101100103183 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 (1101100103197) 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 11 ways as a sum of consecutive naturals, for example, 1591516 + ... + 2176033.

It is an arithmetic number, because the mean of its divisors is an integer number (100717914150).

Almost surely, 2^{1101100103191} is an apocalyptic number.

1101100103191 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1101100103191 is a deficient number, since it is larger than the sum of its proper divisors (107514866609).

1101100103191 is an equidigital number, since it uses as much as digits as its factorization.

1101100103191 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3767886 (or 3767723 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 19.

The spelling of 1101100103191 in words is "one trillion, one hundred one billion, one hundred million, one hundred three thousand, one hundred ninety-one".