2022100000 has 144 divisors (see below), whose sum is σ = 5062316616. Its totient is φ = 794880000.

The previous prime is 2022099997. The next prime is 2022100013. The reversal of 2022100000 is 12202.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 1225280016 + 796819984 = 35004^2 + 28228^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7299862 + ... + 7300138.

Almost surely, 2^2022100000 is an apocalyptic number.

2022100000 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 2022100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2531158308).

2022100000 is an abundant number, since it is smaller than the sum of its proper divisors (3040216616).

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

2022100000 is an frugal number, since it uses more digits than its factorization.

2022100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 385 (or 357 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 7.

The square root of 2022100000 is about 44967.7662331586. The cubic root of 2022100000 is about 1264.5447699834.

Adding to 2022100000 its reverse (12202), we get a palindrome (2022112202).

The spelling of 2022100000 in words is "two billion, twenty-two million, one hundred thousand".