221122102200200 has 24 divisors (see below), whose sum is σ = 514108887615930. Its totient is φ = 88448840880000.

The previous prime is 221122102200173. The next prime is 221122102200217. The reversal of 221122102200200 is 2002201221122.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 134278453028164 + 86843649172036 = 11587858^2 + 9318994^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 552805255301 + ... + 552805255700.

Almost surely, 2^{221122102200200} is an apocalyptic number.

221122102200200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221122102200200 is an abundant number, since it is smaller than the sum of its proper divisors (292986785415730).

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

221122102200200 is a wasteful number, since it uses less digits than its factorization.

221122102200200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1105610511017 (or 1105610511008 counting only the distinct ones).

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

Adding to 221122102200200 its reverse (2002201221122), we get a palindrome (223124303421322).

The spelling of 221122102200200 in words is "two hundred twenty-one trillion, one hundred twenty-two billion, one hundred two million, two hundred thousand, two hundred".