21122212200200 has 96 divisors (see below), whose sum is σ = 52074728555400. Its totient is φ = 7940145008640.

The previous prime is 21122212200179. The next prime is 21122212200203. The reversal of 21122212200200 is 200221222112.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 3699552190084 + 17422660010116 = 1923422^2 + 4174046^2 .

It is a super-2 number, since 2×21122212200200² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is not an unprimeable number, because it can be changed into a prime (21122212200203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2286395 + ... + 6889994.

Almost surely, 2^{21122212200200} is an apocalyptic number.

21122212200200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21122212200200 is an abundant number, since it is smaller than the sum of its proper divisors (30952516355200).

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

21122212200200 is a wasteful number, since it uses less digits than its factorization.

21122212200200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9177099 (or 9177090 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 21122212200200 its reverse (200221222112), we get a palindrome (21322433422312).

The spelling of 21122212200200 in words is "twenty-one trillion, one hundred twenty-two billion, two hundred twelve million, two hundred thousand, two hundred".