21200200000011 has 64 divisors (see below), whose sum is σ = 32689502208000. Its totient is φ = 13568031338400.

The previous prime is 21200199999989. The next prime is 21200200000037. The reversal of 21200200000011 is 11000000200212.

It is not a de Polignac number, because 21200200000011 - 2²¹ = 21200197902859 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 = 21200199999939 and 21200200000002.

It is not an unprimeable number, because it can be changed into a prime (21200200050011) 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 63 ways as a sum of consecutive naturals, for example, 366509230 + ... + 366567068.

It is an arithmetic number, because the mean of its divisors is an integer number (510773472000).

Almost surely, 2^{21200200000011} is an apocalyptic number.

21200200000011 is a deficient number, since it is larger than the sum of its proper divisors (11489302207989).

21200200000011 is a wasteful number, since it uses less digits than its factorization.

21200200000011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63301 (or 63295 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 21200200000011 its reverse (11000000200212), we get a palindrome (32200200200223).

The spelling of 21200200000011 in words is "twenty-one trillion, two hundred billion, two hundred million, eleven", and thus it is an aban number.