21011022100009 has 16 divisors (see below), whose sum is σ = 21210150009600. Its totient is φ = 20812720152960.

The previous prime is 21011022099953. The next prime is 21011022100111. The reversal of 21011022100009 is 90000122011012.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 21011022100009 - 2¹⁹ = 21011021575721 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (21011022100309) 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, 123231232 + ... + 123401614.

It is an arithmetic number, because the mean of its divisors is an integer number (1325634375600).

Almost surely, 2^{21011022100009} is an apocalyptic number.

It is an amenable number.

21011022100009 is a deficient number, since it is larger than the sum of its proper divisors (199127909591).

21011022100009 is a wasteful number, since it uses less digits than its factorization.

21011022100009 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172800.

The product of its (nonzero) digits is 72, while the sum is 19.

The spelling of 21011022100009 in words is "twenty-one trillion, eleven billion, twenty-two million, one hundred thousand, nine".