21300333000201 has 48 divisors (see below), whose sum is σ = 30951580555584. Its totient is φ = 14115382382592.

The previous prime is 21300333000173. The next prime is 21300333000253. The reversal of 21300333000201 is 10200033300312.

21300333000201 is a `hidden beast` number, since 2 + 130 + 0 + 3 + 330 + 0 + 0 + 201 = 666.

It is not a de Polignac number, because 21300333000201 - 2⁵ = 21300333000169 is a prime.

It is not an unprimeable number, because it can be changed into a prime (21300333000301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2435154310 + ... + 2435163056.

It is an arithmetic number, because the mean of its divisors is an integer number (644824594908).

Almost surely, 2^{21300333000201} is an apocalyptic number.

It is an amenable number.

21300333000201 is a deficient number, since it is larger than the sum of its proper divisors (9651247555383).

21300333000201 is a wasteful number, since it uses less digits than its factorization.

21300333000201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11270 (or 11267 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 21300333000201 its reverse (10200033300312), we get a palindrome (31500366300513).

The spelling of 21300333000201 in words is "twenty-one trillion, three hundred billion, three hundred thirty-three million, two hundred one", and thus it is an aban number.