202121200 has 60 divisors (see below), whose sum is σ = 490502088. Its totient is φ = 80032000.

The previous prime is 202121191. The next prime is 202121203. The reversal of 202121200 is 2121202.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202121203) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 37899 + ... + 42901.

Almost surely, 2^202121200 is an apocalyptic number.

202121200 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 202121200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245251044).

202121200 is an abundant number, since it is smaller than the sum of its proper divisors (288380888).

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

202121200 is a wasteful number, since it uses less digits than its factorization.

202121200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5122 (or 5111 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 202121200 is about 14216.9335652946. The cubic root of 202121200 is about 586.8637566684.

Adding to 202121200 its reverse (2121202), we get a palindrome (204242402).

It can be divided in two parts, 20212 and 1200, that added together give a palindrome (21412).

The spelling of 202121200 in words is "two hundred two million, one hundred twenty-one thousand, two hundred".