21000201010009 has 16 divisors (see below), whose sum is σ = 23273095507200. Its totient is φ = 18827531124480.

The previous prime is 21000201010003. The next prime is 21000201010051. The reversal of 21000201010009 is 90001010200012.

It is not a de Polignac number, because 21000201010009 - 2¹³ = 21000201001817 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 21000201009974 and 21000201010001.

It is not an unprimeable number, because it can be changed into a prime (21000201010003) 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, 131103984 + ... + 131264065.

It is an arithmetic number, because the mean of its divisors is an integer number (1454568469200).

Almost surely, 2^{21000201010009} is an apocalyptic number.

It is an amenable number.

21000201010009 is a deficient number, since it is larger than the sum of its proper divisors (2272894497191).

21000201010009 is a wasteful number, since it uses less digits than its factorization.

21000201010009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262368240.

The product of its (nonzero) digits is 36, while the sum is 16.

The spelling of 21000201010009 in words is "twenty-one trillion, two hundred one million, ten thousand, nine".