21002202120200 has 288 divisors, whose sum is σ = 58315643888040. Its totient is φ = 7009693286400.

The previous prime is 21002202120161. The next prime is 21002202120209. The reversal of 21002202120200 is 202120220012.

It can be written as a sum of positive squares in 12 ways, for example, as 445825960804 + 20556376159396 = 667702^2 + 4533914^2 .

It is a Harshad number since it is a multiple of its sum of digits (14).

It is not an unprimeable number, because it can be changed into a prime (21002202120209) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 183565412 + ... + 183679788.

Almost surely, 2^{21002202120200} is an apocalyptic number.

21002202120200 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 21002202120200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29157821944020).

21002202120200 is an abundant number, since it is smaller than the sum of its proper divisors (37313441767840).

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

21002202120200 is a wasteful number, since it uses less digits than its factorization.

21002202120200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114905 (or 114889 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 21002202120200 its reverse (202120220012), we get a palindrome (21204322340212).

It can be divided in two parts, 21002 and 202120200, that added together give a palindrome (202141202).

The spelling of 21002202120200 in words is "twenty-one trillion, two billion, two hundred two million, one hundred twenty thousand, two hundred".