21330212211121 has 32 divisors (see below), whose sum is σ = 23384308058496. Its totient is φ = 19295527680000.

The previous prime is 21330212211101. The next prime is 21330212211149. The reversal of 21330212211121 is 12111221203312.

It is a happy number.

It is not a de Polignac number, because 21330212211121 - 2¹⁷ = 21330212080049 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 21330212211092 and 21330212211101.

It is not an unprimeable number, because it can be changed into a prime (21330212211101) 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 31 ways as a sum of consecutive naturals, for example, 9142824471 + ... + 9142826803.

It is an arithmetic number, because the mean of its divisors is an integer number (730759626828).

Almost surely, 2^{21330212211121} is an apocalyptic number.

It is an amenable number.

21330212211121 is a deficient number, since it is larger than the sum of its proper divisors (2054095847375).

21330212211121 is a wasteful number, since it uses less digits than its factorization.

21330212211121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6033.

The product of its (nonzero) digits is 288, while the sum is 22.

Adding to 21330212211121 its reverse (12111221203312), we get a palindrome (33441433414433).

The spelling of 21330212211121 in words is "twenty-one trillion, three hundred thirty billion, two hundred twelve million, two hundred eleven thousand, one hundred twenty-one".