220122001002100 has 36 divisors (see below), whose sum is σ = 498432774448224. Its totient is φ = 84220591686880.

The previous prime is 220122001002041. The next prime is 220122001002107. The reversal of 220122001002100 is 1200100221022.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220122001002107) 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 11 ways as a sum of consecutive naturals, for example, 47852606614 + ... + 47852611213.

It is an arithmetic number, because the mean of its divisors is an integer number (13845354845784).

Almost surely, 2^{220122001002100} is an apocalyptic number.

220122001002100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220122001002100 is an abundant number, since it is smaller than the sum of its proper divisors (278310773446124).

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

220122001002100 is a wasteful number, since it uses less digits than its factorization.

220122001002100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95705217864 (or 95705217857 counting only the distinct ones).

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

Adding to 220122001002100 its reverse (1200100221022), we get a palindrome (221322101223122).

The spelling of 220122001002100 in words is "two hundred twenty trillion, one hundred twenty-two billion, one million, two thousand, one hundred".