220122102200 has 768 divisors, whose sum is σ = 738702720000. Its totient is φ = 59947776000.

The previous prime is 220122102139. The next prime is 220122102223. The reversal of 220122102200 is 2201221022.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

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 191 ways as a sum of consecutive naturals, for example, 186385610 + ... + 186386790.

It is an arithmetic number, because the mean of its divisors is an integer number (961852500).

Almost surely, 2^220122102200 is an apocalyptic number.

220122102200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220122102200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (369351360000).

220122102200 is an abundant number, since it is smaller than the sum of its proper divisors (518580617800).

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

220122102200 is a wasteful number, since it uses less digits than its factorization.

220122102200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1261 (or 1238 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 220122102200 its reverse (2201221022), we get a palindrome (222323323222).

220122102200 divided by its reverse (2201221022) gives a square (100 = 10²).

It can be divided in two parts, 22012 and 2102200, that added together give a palindrome (2124212).

The spelling of 220122102200 in words is "two hundred twenty billion, one hundred twenty-two million, one hundred two thousand, two hundred".