2022100 has 36 divisors (see below), whose sum is σ = 4464124. Its totient is φ = 794880.

The previous prime is 2022077. The next prime is 2022101. The reversal of 2022100 is 12202.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 161604 + 1860496 = 402^2 + 1364^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2022101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7162 + ... + 7438.

2^2022100 is an apocalyptic number.

2022100 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 2022100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2232062).

2022100 is an abundant number, since it is smaller than the sum of its proper divisors (2442024).

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

2022100 is a wasteful number, since it uses less digits than its factorization.

2022100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 364 (or 357 counting only the distinct ones).

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

The square root of 2022100 is about 1422.0056258679. The cubic root of 2022100 is about 126.4544769983.

Adding to 2022100 its reverse (12202), we get a palindrome (2034302).

The spelling of 2022100 in words is "two million, twenty-two thousand, one hundred".