220122100200100 has 144 divisors (see below), whose sum is σ = 578967005740032. Its totient is φ = 70913974947840.

The previous prime is 220122100200059. The next prime is 220122100200109. The reversal of 220122100200100 is 1002001221022.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (220122100200109) 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 47 ways as a sum of consecutive naturals, for example, 8013649 + ... + 22460248.

It is an arithmetic number, because the mean of its divisors is an integer number (4020604206528).

Almost surely, 2^{220122100200100} is an apocalyptic number.

220122100200100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220122100200100 is an abundant number, since it is smaller than the sum of its proper divisors (358844905539932).

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

220122100200100 is a wasteful number, since it uses less digits than its factorization.

220122100200100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30474542 (or 30474535 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 220122100200100 its reverse (1002001221022), we get a palindrome (221124101421122).

The spelling of 220122100200100 in words is "two hundred twenty trillion, one hundred twenty-two billion, one hundred million, two hundred thousand, one hundred".