1100009108801 has 2 divisors, whose sum is σ = 1100009108802. Its totient is φ = 1100009108800.

The previous prime is 1100009108789. The next prime is 1100009108813. The reversal of 1100009108801 is 1088019000011.

It is a balanced prime because it is at equal distance from previous prime (1100009108789) and next prime (1100009108813).

It can be written as a sum of positive squares in only one way, i.e., 1036201843600 + 63807265201 = 1017940^2 + 252601^2 .

It is an emirp because it is prime and its reverse (1088019000011) is a distict prime. It is also a bemirp because it and its reverse can be mirrored producing other two distinct primes, 1088016000011 and 1100006108801.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1100009108801 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (1100009138801) 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 as a sum of consecutive naturals, namely, 550004554400 + 550004554401.

It is an arithmetic number, because the mean of its divisors is an integer number (550004554401).

Almost surely, 2^{1100009108801} is an apocalyptic number.

It is an amenable number.

1100009108801 is a deficient number, since it is larger than the sum of its proper divisors (1).

1100009108801 is an equidigital number, since it uses as much as digits as its factorization.

1100009108801 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 576, while the sum is 29.

The spelling of 1100009108801 in words is "one trillion, one hundred billion, nine million, one hundred eight thousand, eight hundred one".