21221220220200 has 576 divisors, whose sum is σ = 95688419299200. Its totient is φ = 4070403532800.

The previous prime is 21221220220183. The next prime is 21221220220217. The reversal of 21221220220200 is 202202212212.

21221220220200 is a `hidden beast` number, since 2 + 1 + 2 + 21 + 220 + 220 + 200 = 666.

It is an interprime number because it is at equal distance from previous prime (21221220220183) and next prime (21221220220217).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 4087095 + ... + 7690694.

It is an arithmetic number, because the mean of its divisors is an integer number (166125727950).

Almost surely, 2^{21221220220200} is an apocalyptic number.

21221220220200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21221220220200 is an abundant number, since it is smaller than the sum of its proper divisors (74467199079000).

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

21221220220200 is a wasteful number, since it uses less digits than its factorization.

21221220220200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11777842 (or 11777830 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 21221220220200 its reverse (202202212212), we get a palindrome (21423422432412).

The spelling of 21221220220200 in words is "twenty-one trillion, two hundred twenty-one billion, two hundred twenty million, two hundred twenty thousand, two hundred".