210202001200 has 120 divisors (see below), whose sum is σ = 535575140640. Its totient is φ = 79007846400.

The previous prime is 210202001111. The next prime is 210202001209. The reversal of 210202001200 is 2100202012.

210202001200 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 (10).

It is not an unprimeable number, because it can be changed into a prime (210202001209) 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 23 ways as a sum of consecutive naturals, for example, 4266306 + ... + 4315294.

It is an arithmetic number, because the mean of its divisors is an integer number (4463126172).

Almost surely, 2^210202001200 is an apocalyptic number.

210202001200 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 210202001200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267787570320).

210202001200 is an abundant number, since it is smaller than the sum of its proper divisors (325373139440).

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

210202001200 is a wasteful number, since it uses less digits than its factorization.

210202001200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49655 (or 49644 counting only the distinct ones).

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

Adding to 210202001200 its reverse (2100202012), we get a palindrome (212302203212).

The spelling of 210202001200 in words is "two hundred ten billion, two hundred two million, one thousand, two hundred".