21122221220200 has 48 divisors (see below), whose sum is σ = 49136103838080. Its totient is φ = 8444253735360.

The previous prime is 21122221220197. The next prime is 21122221220203. The reversal of 21122221220200 is 202212222112.

It is an interprime number because it is at equal distance from previous prime (21122221220197) and next prime (21122221220203).

It is a super-2 number, since 2×21122221220200² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (21122221220203) 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 11 ways as a sum of consecutive naturals, for example, 28601694 + ... + 29330893.

It is an arithmetic number, because the mean of its divisors is an integer number (1023668829960).

Almost surely, 2^{21122221220200} is an apocalyptic number.

21122221220200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21122221220200 is an abundant number, since it is smaller than the sum of its proper divisors (28013882617880).

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

21122221220200 is a wasteful number, since it uses less digits than its factorization.

21122221220200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57934426 (or 57934417 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 19.

Adding to 21122221220200 its reverse (202212222112), we get a palindrome (21324433442312).

The spelling of 21122221220200 in words is "twenty-one trillion, one hundred twenty-two billion, two hundred twenty-one million, two hundred twenty thousand, two hundred".