21002212211211 has 144 divisors (see below), whose sum is σ = 40238337904128. Its totient is φ = 10418484384000.

The previous prime is 21002212211171. The next prime is 21002212211213. The reversal of 21002212211211 is 11211221220012.

21002212211211 is a `hidden beast` number, since 2 + 10 + 0 + 221 + 221 + 1 + 211 = 666.

It is not a de Polignac number, because 21002212211211 - 2¹¹ = 21002212209163 is a prime.

It is not an unprimeable number, because it can be changed into a prime (21002212211213) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 66898770 + ... + 67211976.

It is an arithmetic number, because the mean of its divisors is an integer number (279432902112).

Almost surely, 2^{21002212211211} is an apocalyptic number.

21002212211211 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

21002212211211 is a deficient number, since it is larger than the sum of its proper divisors (19236125692917).

21002212211211 is a wasteful number, since it uses less digits than its factorization.

21002212211211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 313862 (or 313852 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 21002212211211 its reverse (11211221220012), we get a palindrome (32213433431223).

The spelling of 21002212211211 in words is "twenty-one trillion, two billion, two hundred twelve million, two hundred eleven thousand, two hundred eleven".