21202222101200 has 120 divisors (see below), whose sum is σ = 58223267347392. Its totient is φ = 7268331432960.

The previous prime is 21202222101191. The next prime is 21202222101209. The reversal of 21202222101200 is 210122220212.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (21202222101191) and next prime (21202222101209).

It is a super-2 number, since 2×21202222101200² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21202222101209) 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, 19941452 + ... + 20977748.

Almost surely, 2^{21202222101200} is an apocalyptic number.

21202222101200 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 21202222101200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29111633673696).

21202222101200 is an abundant number, since it is smaller than the sum of its proper divisors (37021045246192).

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

21202222101200 is a wasteful number, since it uses less digits than its factorization.

21202222101200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1043629 (or 1043618 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 21202222101200 its reverse (210122220212), we get a palindrome (21412344321412).

The spelling of 21202222101200 in words is "twenty-one trillion, two hundred two billion, two hundred twenty-two million, one hundred one thousand, two hundred".