21202222010200 has 1536 divisors, whose sum is σ = 66957257318400. Its totient is φ = 6053806080000.

The previous prime is 21202222010197. The next prime is 21202222010279. The reversal of 21202222010200 is 201022220212.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 154760744532 + ... + 154760744668.

It is an arithmetic number, because the mean of its divisors is an integer number (43591964400).

Almost surely, 2^{21202222010200} is an apocalyptic number.

21202222010200 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 21202222010200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33478628659200).

21202222010200 is an abundant number, since it is smaller than the sum of its proper divisors (45755035308200).

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

21202222010200 is a wasteful number, since it uses less digits than its factorization.

21202222010200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 421 (or 412 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 21202222010200 its reverse (201022220212), we get a palindrome (21403244230412).

It can be divided in two parts, 212022 and 22010200, that added together give a palindrome (22222222).

The spelling of 21202222010200 in words is "twenty-one trillion, two hundred two billion, two hundred twenty-two million, ten thousand, two hundred".