2020202100 has 288 divisors, whose sum is σ = 7512019200. Its totient is φ = 456192000.

The previous prime is 2020202077. The next prime is 2020202111. The reversal of 2020202100 is 12020202.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1681500 + ... + 1682700.

It is an arithmetic number, because the mean of its divisors is an integer number (26083400).

Almost surely, 2^2020202100 is an apocalyptic number.

2020202100 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 2020202100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3756009600).

2020202100 is an abundant number, since it is smaller than the sum of its proper divisors (5491817100).

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

2020202100 is a wasteful number, since it uses less digits than its factorization.

2020202100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1320 (or 1307 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

The square root of 2020202100 is about 44946.6583852459. The cubic root of 2020202100 is about 1264.1490212127.

Adding to 2020202100 its reverse (12020202), we get a palindrome (2032222302).

The spelling of 2020202100 in words is "two billion, twenty million, two hundred two thousand, one hundred".