202100 has 36 divisors (see below), whose sum is σ = 458304. Its totient is φ = 77280.

The previous prime is 202099. The next prime is 202109. The reversal of 202100 is 1202.

202100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (5).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202109) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4277 + ... + 4323.

2²⁰²¹⁰⁰ is an apocalyptic number.

202100 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 202100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229152).

202100 is an abundant number, since it is smaller than the sum of its proper divisors (256204).

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

202100 is a wasteful number, since it uses less digits than its factorization.

202100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 5.

The square root of 202100 is about 449.5553358598. Note that the first 3 decimals coincide. The cubic root of 202100 is about 58.6843237715.

Adding to 202100 its reverse (1202), we get a palindrome (203302).

The spelling of 202100 in words is "two hundred two thousand, one hundred", and thus it is an iban number.