21022112002000 has 80 divisors (see below), whose sum is σ = 50849087807232. Its totient is φ = 8405929833600.

The previous prime is 21022112001983. The next prime is 21022112002007. The reversal of 21022112002000 is 20021122012.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21022112002007) 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 15 ways as a sum of consecutive naturals, for example, 3953589 + ... + 7594411.

Almost surely, 2^{21022112002000} is an apocalyptic number.

21022112002000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21022112002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25424543903616).

21022112002000 is an abundant number, since it is smaller than the sum of its proper divisors (29826975805232).

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

21022112002000 is a wasteful number, since it uses less digits than its factorization.

21022112002000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3643733 (or 3643717 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 21022112002000 its reverse (20021122012), we get a palindrome (21042133124012).

The spelling of 21022112002000 in words is "twenty-one trillion, twenty-two billion, one hundred twelve million, two thousand".