21211002200011 has 16 divisors (see below), whose sum is σ = 23891078615040. Its totient is φ = 18684656163360.

The previous prime is 21211002199999. The next prime is 21211002200081. The reversal of 21211002200011 is 11000220011212.

It is a cyclic number.

It is not a de Polignac number, because 21211002200011 - 2²⁹ = 21210465329099 is a prime.

It is a super-2 number, since 2×21211002200011² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a junction number, because it is equal to n+sod(n) for n = 21211002199964 and 21211002200000.

It is not an unprimeable number, because it can be changed into a prime (21211002200081) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 82167891 + ... + 82425628.

It is an arithmetic number, because the mean of its divisors is an integer number (1493192413440).

Almost surely, 2^{21211002200011} is an apocalyptic number.

21211002200011 is a deficient number, since it is larger than the sum of its proper divisors (2680076415029).

21211002200011 is a wasteful number, since it uses less digits than its factorization.

21211002200011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164593986.

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 21211002200011 its reverse (11000220011212), we get a palindrome (32211222211223).

The spelling of 21211002200011 in words is "twenty-one trillion, two hundred eleven billion, two million, two hundred thousand, eleven".