100011101100011 has 2 divisors, whose sum is σ = 100011101100012. Its totient is φ = 100011101100010.

The previous prime is 100011101099933. The next prime is 100011101100049. The reversal of 100011101100011 is 110001101110001.

It is a strong prime.

It is an emirp because it is prime and its reverse (110001101110001) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100011101100011 is a prime.

It is not a weakly prime, because it can be changed into another prime (100011101100061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50005550550005 + 50005550550006.

It is an arithmetic number, because the mean of its divisors is an integer number (50005550550006).

Almost surely, 2^{100011101100011} is an apocalyptic number.

100011101100011 is a deficient number, since it is larger than the sum of its proper divisors (1).

100011101100011 is an equidigital number, since it uses as much as digits as its factorization.

100011101100011 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1, while the sum is 8.

Adding to 100011101100011 its reverse (110001101110001), we get a palindrome (210012202210012).

The spelling of 100011101100011 in words is "one hundred trillion, eleven billion, one hundred one million, one hundred thousand, eleven".