20002010011011 has 96 divisors (see below), whose sum is σ = 34641782138880. Its totient is φ = 11373003899712.

The previous prime is 20002010010971. The next prime is 20002010011033. The reversal of 20002010011011 is 11011001020002.

It is a happy number.

It is not a de Polignac number, because 20002010011011 - 2¹¹ = 20002010008963 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 20002010010984 and 20002010011002.

It is not an unprimeable number, because it can be changed into a prime (20002010011091) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 659964720 + ... + 659995026.

It is an arithmetic number, because the mean of its divisors is an integer number (360851897280).

Almost surely, 2^{20002010011011} is an apocalyptic number.

20002010011011 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

20002010011011 is a deficient number, since it is larger than the sum of its proper divisors (14639772127869).

20002010011011 is a wasteful number, since it uses less digits than its factorization.

20002010011011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32790 (or 32777 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 20002010011011 its reverse (11011001020002), we get a palindrome (31013011031013).

The spelling of 20002010011011 in words is "twenty trillion, two billion, ten million, eleven thousand, eleven".