21022100022000 has 640 divisors, whose sum is σ = 84549619335168. Its totient is φ = 4365612672000.

The previous prime is 21022100021987. The next prime is 21022100022019. The reversal of 21022100022000 is 22000122012.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 825581269 + ... + 825606731.

Almost surely, 2^{21022100022000} is an apocalyptic number.

21022100022000 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 21022100022000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42274809667584).

21022100022000 is an abundant number, since it is smaller than the sum of its proper divisors (63527519313168).

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

21022100022000 is a wasteful number, since it uses less digits than its factorization.

21022100022000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27294 (or 27278 counting only the distinct ones).

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

Adding to 21022100022000 its reverse (22000122012), we get a palindrome (21044100144012).

The spelling of 21022100022000 in words is "twenty-one trillion, twenty-two billion, one hundred million, twenty-two thousand".