21200200200102 has 192 divisors, whose sum is σ = 56222560235520. Its totient is φ = 5176426560000.

The previous prime is 21200200200059. The next prime is 21200200200107. The reversal of 21200200200102 is 20100200200212.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21200200200107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 111926977 + ... + 112116227.

It is an arithmetic number, because the mean of its divisors is an integer number (292825834560).

Almost surely, 2^{21200200200102} is an apocalyptic number.

21200200200102 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 21200200200102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28111280117760).

21200200200102 is an abundant number, since it is smaller than the sum of its proper divisors (35022360035418).

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

21200200200102 is a wasteful number, since it uses less digits than its factorization.

21200200200102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190147 (or 190130 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 21200200200102 its reverse (20100200200212), we get a palindrome (41300400400314).

The spelling of 21200200200102 in words is "twenty-one trillion, two hundred billion, two hundred million, two hundred thousand, one hundred two".