11002000020011 has 64 divisors (see below), whose sum is σ = 15449951010816. Its totient is φ = 7551890755200.

The previous prime is 11002000019999. The next prime is 11002000020013.

11002000020011 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 11002000020011 - 2⁶ = 11002000019947 is a prime.

It is not an unprimeable number, because it can be changed into a prime (11002000020013) 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, 9368540 + ... + 10477286.

It is an arithmetic number, because the mean of its divisors is an integer number (241405484544).

Almost surely, 2^{11002000020011} is an apocalyptic number.

11002000020011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11002000020011 is a deficient number, since it is larger than the sum of its proper divisors (4447950990805).

11002000020011 is a wasteful number, since it uses less digits than its factorization.

11002000020011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1109232.

The product of its (nonzero) digits is 4, while the sum is 8.

It can be divided in two parts, 110020000 and 20011, that added together give a palindrome (110040011).

The spelling of 11002000020011 in words is "eleven trillion, two billion, twenty thousand, eleven".