202013100 has 108 divisors (see below), whose sum is σ = 637026936. Its totient is φ = 53544960.

The previous prime is 202013089. The next prime is 202013113. The reversal of 202013100 is 1310202.

It is a happy number.

It is a super-2 number, since 2×202013100² = 81618585143220000, which contains 22 as substring.

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

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 173119 + ... + 174281.

Almost surely, 2^202013100 is an apocalyptic number.

202013100 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 202013100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318513468).

202013100 is an abundant number, since it is smaller than the sum of its proper divisors (435013836).

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

202013100 is a wasteful number, since it uses less digits than its factorization.

202013100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1376 (or 1366 counting only the distinct ones).

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

The square root of 202013100 is about 14213.1312524721. The cubic root of 202013100 is about 586.7591143626.

Adding to 202013100 its reverse (1310202), we get a palindrome (203323302).

The spelling of 202013100 in words is "two hundred two million, thirteen thousand, one hundred".