10001081100011 has 2 divisors, whose sum is σ = 10001081100012. Its totient is φ = 10001081100010.

The previous prime is 10001081099969. The next prime is 10001081100013. The reversal of 10001081100011 is 11000118010001.

It is a happy number.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 10001081100011 - 2¹⁴ = 10001081083627 is a prime.

Together with 10001081100013, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (10001081100013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5000540550005 + 5000540550006.

It is an arithmetic number, because the mean of its divisors is an integer number (5000540550006).

Almost surely, 2^{10001081100011} is an apocalyptic number.

10001081100011 is a deficient number, since it is larger than the sum of its proper divisors (1).

10001081100011 is an equidigital number, since it uses as much as digits as its factorization.

10001081100011 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 10001081100011 its reverse (11000118010001), we get a palindrome (21001199110012).

The spelling of 10001081100011 in words is "ten trillion, one billion, eighty-one million, one hundred thousand, eleven".