21212002002000 has 160 divisors (see below), whose sum is σ = 71986836654720. Its totient is φ = 5358821529600.

The previous prime is 21212002001989. The next prime is 21212002002001. The reversal of 21212002002000 is 20020021212.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21212002002001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 92921097 + ... + 93149096.

It is an arithmetic number, because the mean of its divisors is an integer number (449917729092).

Almost surely, 2^{21212002002000} is an apocalyptic number.

21212002002000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21212002002000 is an abundant number, since it is smaller than the sum of its proper divisors (50774834652720).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

21212002002000 is a wasteful number, since it uses less digits than its factorization.

21212002002000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186070238 (or 186070222 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 21212002002000 its reverse (20020021212), we get a palindrome (21232022023212).

The spelling of 21212002002000 in words is "twenty-one trillion, two hundred twelve billion, two million, two thousand".