220122200100 has 144 divisors (see below), whose sum is σ = 703157495040. Its totient is φ = 52719964800.

The previous prime is 220122200099. The next prime is 220122200101. The reversal of 220122200100 is 1002221022.

It is an interprime number because it is at equal distance from previous prime (220122200099) and next prime (220122200101).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (220122200101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 127930 + ... + 675729.

It is an arithmetic number, because the mean of its divisors is an integer number (4883038160).

Almost surely, 2^220122200100 is an apocalyptic number.

220122200100 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 220122200100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (351578747520).

220122200100 is an abundant number, since it is smaller than the sum of its proper divisors (483035294940).

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

220122200100 is a wasteful number, since it uses less digits than its factorization.

220122200100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 803770 (or 803763 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 220122200100 its reverse (1002221022), we get a palindrome (221124421122).

The spelling of 220122200100 in words is "two hundred twenty billion, one hundred twenty-two million, two hundred thousand, one hundred".