220122101102200 has 144 divisors (see below), whose sum is σ = 576259785294480. Its totient is φ = 78092097600000.

The previous prime is 220122101102191. The next prime is 220122101102209. The reversal of 220122101102200 is 2201101221022.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (220122101102191) and next prime (220122101102209).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220122101102209) 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 35 ways as a sum of consecutive naturals, for example, 109934076 + ... + 111918475.

It is an arithmetic number, because the mean of its divisors is an integer number (4001804064545).

Almost surely, 2^{220122101102200} is an apocalyptic number.

220122101102200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220122101102200 is an abundant number, since it is smaller than the sum of its proper divisors (356137684192280).

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

220122101102200 is a wasteful number, since it uses less digits than its factorization.

220122101102200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221852630 (or 221852610 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 220122101102200 its reverse (2201101221022), we get a palindrome (222323202323222).

The spelling of 220122101102200 in words is "two hundred twenty trillion, one hundred twenty-two billion, one hundred one million, one hundred two thousand, two hundred".