21011011010011 has 48 divisors (see below), whose sum is σ = 23793678720000. Its totient is φ = 18528480432000.

The previous prime is 21011011009999. The next prime is 21011011010027. The reversal of 21011011010011 is 11001011011012.

It is not a de Polignac number, because 21011011010011 - 2¹⁹ = 21011010485723 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 21011011010011.

It is not an unprimeable number, because it can be changed into a prime (21011011010051) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 670855410 + ... + 670886728.

It is an arithmetic number, because the mean of its divisors is an integer number (495701640000).

Almost surely, 2^{21011011010011} is an apocalyptic number.

21011011010011 is a deficient number, since it is larger than the sum of its proper divisors (2782667709989).

21011011010011 is a wasteful number, since it uses less digits than its factorization.

21011011010011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32152 (or 32141 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 10.

Adding to 21011011010011 its reverse (11001011011012), we get a palindrome (32012022021023).

The spelling of 21011011010011 in words is "twenty-one trillion, eleven billion, eleven million, ten thousand, eleven".