202100021200 has 240 divisors, whose sum is σ = 605997927936. Its totient is φ = 62925350400.

The previous prime is 202100021177. The next prime is 202100021273. The reversal of 202100021200 is 2120001202.

202100021200 is digitally balanced in base 2 and base 3, because in such bases 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 (10).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 34585479 + ... + 34591321.

Almost surely, 2^202100021200 is an apocalyptic number.

202100021200 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 202100021200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302998963968).

202100021200 is an abundant number, since it is smaller than the sum of its proper divisors (403897906736).

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

202100021200 is a wasteful number, since it uses less digits than its factorization.

202100021200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7002 (or 6991 counting only the distinct ones).

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

Adding to 202100021200 its reverse (2120001202), we get a palindrome (204220022402).

It can be divided in two parts, 20210002 and 1200, that added together give a palindrome (20211202).

The spelling of 202100021200 in words is "two hundred two billion, one hundred million, twenty-one thousand, two hundred".