10010000011011 has 64 divisors (see below), whose sum is σ = 18013823041536. Its totient is φ = 4774868841600.

The previous prime is 10010000011001. The next prime is 10010000011097. The reversal of 10010000011011 is 11011000001001.

10010000011011 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10010000011011 - 2¹⁵ = 10009999978243 is a prime.

10010000011011 is a modest number, since divided by 11011 gives 1001 as remainder.

It is not an unprimeable number, because it can be changed into a prime (10010000011001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8152431 + ... + 9299576.

It is an arithmetic number, because the mean of its divisors is an integer number (281465985024).

Almost surely, 2^{10010000011011} is an apocalyptic number.

10010000011011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10010000011011 is a deficient number, since it is larger than the sum of its proper divisors (8003823030525).

10010000011011 is a wasteful number, since it uses less digits than its factorization.

10010000011011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17452232.

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

Adding to 10010000011011 its reverse (11011000001001), we get a palindrome (21021000012012).

The spelling of 10010000011011 in words is "ten trillion, ten billion, eleven thousand, eleven".