10011000100011 has 8 divisors (see below), whose sum is σ = 13348016257344. Its totient is φ = 6673992004680.

The previous prime is 10011000099977. The next prime is 10011000100021. The reversal of 10011000100011 is 11000100011001.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 10011000100011 - 2¹³ = 10011000091819 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10011000100021) 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 in 7 ways as a sum of consecutive naturals, for example, 2058120 + ... + 4925226.

It is an arithmetic number, because the mean of its divisors is an integer number (1668502032168).

Almost surely, 2^{10011000100011} is an apocalyptic number.

10011000100011 is a deficient number, since it is larger than the sum of its proper divisors (3337016157333).

10011000100011 is a wasteful number, since it uses less digits than its factorization.

10011000100011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4031001.

The product of its (nonzero) digits is 1, while the sum is 6.

Adding to 10011000100011 its reverse (11000100011001), we get a palindrome (21011100111012).

The spelling of 10011000100011 in words is "ten trillion, eleven billion, one hundred thousand, eleven".