22100120020 has 144 divisors (see below), whose sum is σ = 54241624080. Its totient is φ = 7531786240.

The previous prime is 22100119981. The next prime is 22100120023. The reversal of 22100120020 is 2002100122.

It can be written as a sum of positive squares in 8 ways, for example, as 5074567696 + 17025552324 = 71236^2 + 130482^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 22100119979 and 22100120006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22100120023) 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, 11065662 + ... + 11067658.

It is an arithmetic number, because the mean of its divisors is an integer number (376677945).

Almost surely, 2^22100120020 is an apocalyptic number.

22100120020 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 22100120020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27120812040).

22100120020 is an abundant number, since it is smaller than the sum of its proper divisors (32141504060).

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

22100120020 is a wasteful number, since it uses less digits than its factorization.

22100120020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2314 (or 2301 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 22100120020 its reverse (2002100122), we get a palindrome (24102220142).

The spelling of 22100120020 in words is "twenty-two billion, one hundred million, one hundred twenty thousand, twenty".