21442101203200 has 216 divisors, whose sum is σ = 53611421817800. Its totient is φ = 8489908961280.

The previous prime is 21442101203183. The next prime is 21442101203203. The reversal of 21442101203200 is 230210124412.

It can be written as a sum of positive squares in 12 ways, for example, as 788203044864 + 20653898158336 = 887808^2 + 4544656^2 .

It is not an unprimeable number, because it can be changed into a prime (21442101203203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 745720024 + ... + 745748776.

Almost surely, 2^{21442101203200} is an apocalyptic number.

21442101203200 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 21442101203200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26805710908900).

21442101203200 is an abundant number, since it is smaller than the sum of its proper divisors (32169320614600).

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

21442101203200 is a wasteful number, since it uses less digits than its factorization.

21442101203200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29957 (or 29938 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 21442101203200 its reverse (230210124412), we get a palindrome (21672311327612).

The spelling of 21442101203200 in words is "twenty-one trillion, four hundred forty-two billion, one hundred one million, two hundred three thousand, two hundred".