220122101200100 has 144 divisors (see below), whose sum is σ = 522263572992000. Its totient is φ = 79864086556800.

The previous prime is 220122101200061. The next prime is 220122101200121. The reversal of 220122101200100 is 1002101221022.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1725260909 + ... + 1725388491.

It is an arithmetic number, because the mean of its divisors is an integer number (3626830368000).

Almost surely, 2^{220122101200100} is an apocalyptic number.

220122101200100 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 220122101200100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261131786496000).

220122101200100 is an abundant number, since it is smaller than the sum of its proper divisors (302141471791900).

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

220122101200100 is a wasteful number, since it uses less digits than its factorization.

220122101200100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131130 (or 131123 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 220122101200100 its reverse (1002101221022), we get a palindrome (221124202421122).

The spelling of 220122101200100 in words is "two hundred twenty trillion, one hundred twenty-two billion, one hundred one million, two hundred thousand, one hundred".