202113211200 has 84 divisors (see below), whose sum is σ = 663099776160. Its totient is φ = 53896855040.

The previous prime is 202113211199. The next prime is 202113211207. The reversal of 202113211200 is 2112311202.

202113211200 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 (15).

It is a self number, because there is not a number n which added to its sum of digits gives 202113211200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202113211207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21048660 + ... + 21058259.

Almost surely, 2^202113211200 is an apocalyptic number.

202113211200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202113211200 is an abundant number, since it is smaller than the sum of its proper divisors (460986564960).

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

202113211200 is a wasteful number, since it uses less digits than its factorization.

202113211200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42106944 (or 42106929 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 202113211200 its reverse (2112311202), we get a palindrome (204225522402).

The spelling of 202113211200 in words is "two hundred two billion, one hundred thirteen million, two hundred eleven thousand, two hundred".