21202002102200 has 96 divisors (see below), whose sum is σ = 49471521521760. Its totient is φ = 8450392473600.

The previous prime is 21202002102019. The next prime is 21202002102209. The reversal of 21202002102200 is 220120020212.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21202002102209) 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, 171174692 + ... + 171298508.

It is an arithmetic number, because the mean of its divisors is an integer number (515328349185).

Almost surely, 2^{21202002102200} is an apocalyptic number.

21202002102200 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 21202002102200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24735760760880).

21202002102200 is an abundant number, since it is smaller than the sum of its proper divisors (28269519419560).

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

21202002102200 is a wasteful number, since it uses less digits than its factorization.

21202002102200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126897 (or 126888 counting only the distinct ones).

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

Adding to 21202002102200 its reverse (220120020212), we get a palindrome (21422122122412).

The spelling of 21202002102200 in words is "twenty-one trillion, two hundred two billion, two million, one hundred two thousand, two hundred".