220122100020200 has 384 divisors, whose sum is σ = 602854443417600. Its totient is φ = 73184636928000.

The previous prime is 220122100020197. The next prime is 220122100020209. The reversal of 220122100020200 is 2020001221022.

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

It is not an unprimeable number, because it can be changed into a prime (220122100020209) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5525271881 + ... + 5525311719.

It is an arithmetic number, because the mean of its divisors is an integer number (1569933446400).

Almost surely, 2^{220122100020200} is an apocalyptic number.

220122100020200 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 220122100020200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301427221708800).

220122100020200 is an abundant number, since it is smaller than the sum of its proper divisors (382732343397400).

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

220122100020200 is a wasteful number, since it uses less digits than its factorization.

220122100020200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40681 (or 40672 counting only the distinct ones).

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

Adding to 220122100020200 its reverse (2020001221022), we get a palindrome (222142101241222).

The spelling of 220122100020200 in words is "two hundred twenty trillion, one hundred twenty-two billion, one hundred million, twenty thousand, two hundred".