21131012200200 has 768 divisors, whose sum is σ = 77363143441920. Its totient is φ = 4671706890240.

The previous prime is 21131012200183. The next prime is 21131012200213. The reversal of 21131012200200 is 200221013112.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 21131012200200.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 5981037634 + ... + 5981041166.

It is an arithmetic number, because the mean of its divisors is an integer number (100733259690).

Almost surely, 2^{21131012200200} is an apocalyptic number.

21131012200200 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 21131012200200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38681571720960).

21131012200200 is an abundant number, since it is smaller than the sum of its proper divisors (56232131241720).

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

21131012200200 is a wasteful number, since it uses less digits than its factorization.

21131012200200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3986 (or 3977 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 21131012200200 its reverse (200221013112), we get a palindrome (21331233213312).

The spelling of 21131012200200 in words is "twenty-one trillion, one hundred thirty-one billion, twelve million, two hundred thousand, two hundred".