202130100 has 144 divisors (see below), whose sum is σ = 665304640. Its totient is φ = 52617600.

The previous prime is 202130081. The next prime is 202130101. The reversal of 202130100 is 1031202.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202130101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 115230 + ... + 116970.

Almost surely, 2^202130100 is an apocalyptic number.

202130100 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 202130100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (332652320).

202130100 is an abundant number, since it is smaller than the sum of its proper divisors (463174540).

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

202130100 is a wasteful number, since it uses less digits than its factorization.

202130100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1807 (or 1794 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 202130100 is about 14217.2465688684. The cubic root of 202130100 is about 586.8723703299.

Adding to 202130100 its reverse (1031202), we get a palindrome (203161302).

The spelling of 202130100 in words is "two hundred two million, one hundred thirty thousand, one hundred".