220100110020 has 216 divisors, whose sum is σ = 777411999000. Its totient is φ = 50258525184.

The previous prime is 220100109959. The next prime is 220100110037. The reversal of 220100110020 is 20011001022.

It can be written as a sum of positive squares in 4 ways, for example, as 30880329984 + 189219780036 = 175728^2 + 434994^2 .

It is a super-2 number, since 2×220100110020² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 220100109984 and 220100110011.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 9240286 + ... + 9264074.

It is an arithmetic number, because the mean of its divisors is an integer number (3599129625).

Almost surely, 2^220100110020 is an apocalyptic number.

220100110020 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 220100110020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (388705999500).

220100110020 is an abundant number, since it is smaller than the sum of its proper divisors (557311888980).

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

220100110020 is a wasteful number, since it uses less digits than its factorization.

220100110020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24867 (or 24855 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 220100110020 its reverse (20011001022), we get a palindrome (240111111042).

The spelling of 220100110020 in words is "two hundred twenty billion, one hundred million, one hundred ten thousand, twenty".