210201101002200 has 576 divisors, whose sum is σ = 827009444257920. Its totient is φ = 43673478912000.

The previous prime is 210201101002127. The next prime is 210201101002219. The reversal of 210201101002200 is 2200101102012.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3599736204 + ... + 3599794596.

It is an arithmetic number, because the mean of its divisors is an integer number (1435780285170).

Almost surely, 2^{210201101002200} is an apocalyptic number.

210201101002200 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 210201101002200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (413504722128960).

210201101002200 is an abundant number, since it is smaller than the sum of its proper divisors (616808343255720).

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

210201101002200 is a wasteful number, since it uses less digits than its factorization.

210201101002200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69568 (or 69552 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 210201101002200 its reverse (2200101102012), we get a palindrome (212401202104212).

The spelling of 210201101002200 in words is "two hundred ten trillion, two hundred one billion, one hundred one million, two thousand, two hundred".