22132020102000 has 320 divisors, whose sum is σ = 71563901760000. Its totient is φ = 5884501862400.

The previous prime is 22132020101999. The next prime is 22132020102011. The reversal of 22132020102000 is 20102023122.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4760595676 + ... + 4760600324.

It is an arithmetic number, because the mean of its divisors is an integer number (223637193000).

Almost surely, 2^{22132020102000} is an apocalyptic number.

22132020102000 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 22132020102000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35781950880000).

22132020102000 is an abundant number, since it is smaller than the sum of its proper divisors (49431881658000).

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

22132020102000 is a wasteful number, since it uses less digits than its factorization.

22132020102000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6841 (or 6825 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 22132020102000 its reverse (20102023122), we get a palindrome (22152122125122).

The spelling of 22132020102000 in words is "twenty-two trillion, one hundred thirty-two billion, twenty million, one hundred two thousand".