21221010202200 has 192 divisors, whose sum is σ = 71481298713600. Its totient is φ = 5188158604800.

The previous prime is 21221010202193. The next prime is 21221010202207. The reversal of 21221010202200 is 220201012212.

It is an interprime number because it is at equal distance from previous prime (21221010202193) and next prime (21221010202207).

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 21221010202200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21221010202207) 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 47 ways as a sum of consecutive naturals, for example, 29670667 + ... + 30377466.

It is an arithmetic number, because the mean of its divisors is an integer number (372298430800).

Almost surely, 2^{21221010202200} is an apocalyptic number.

21221010202200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21221010202200 is an abundant number, since it is smaller than the sum of its proper divisors (50260288511400).

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

21221010202200 is a wasteful number, since it uses less digits than its factorization.

21221010202200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60048202 (or 60048193 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 21221010202200 its reverse (220201012212), we get a palindrome (21441211214412).

The spelling of 21221010202200 in words is "twenty-one trillion, two hundred twenty-one billion, ten million, two hundred two thousand, two hundred".