2202100 has 54 divisors (see below), whose sum is σ = 5125974. Its totient is φ = 820800.

The previous prime is 2202077. The next prime is 2202121. The reversal of 2202100 is 12022.

It is a happy number.

2202100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 5776 + 2196324 = 76^2 + 1482^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 36070 + ... + 36130.

2^2202100 is an apocalyptic number.

2202100 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 2202100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2562987).

2202100 is an abundant number, since it is smaller than the sum of its proper divisors (2923874).

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

2202100 is a wasteful number, since it uses less digits than its factorization.

2202100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 87 counting only the distinct ones).

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

The square root of 2202100 is about 1483.9474384223. The cubic root of 2202100 is about 130.1005139801.

Adding to 2202100 its reverse (12022), we get a palindrome (2214122).

The spelling of 2202100 in words is "two million, two hundred two thousand, one hundred".