210100201200 has 180 divisors, whose sum is σ = 729320351760. Its totient is φ = 56010255360.

The previous prime is 210100201153. The next prime is 210100201219. The reversal of 210100201200 is 2102001012.

It is a tau number, because it is divible by the number of its divisors (180).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 16838164 + ... + 16850636.

It is an arithmetic number, because the mean of its divisors is an integer number (4051779732).

Almost surely, 2^210100201200 is an apocalyptic number.

210100201200 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 210100201200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (364660175880).

210100201200 is an abundant number, since it is smaller than the sum of its proper divisors (519220150560).

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

210100201200 is a wasteful number, since it uses less digits than its factorization.

210100201200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17176 (or 17162 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 210100201200 its reverse (2102001012), we get a palindrome (212202202212).

The spelling of 210100201200 in words is "two hundred ten billion, one hundred million, two hundred one thousand, two hundred".