210101201010200 has 192 divisors, whose sum is σ = 494791031347200. Its totient is φ = 82958872550400.

The previous prime is 210101201010187. The next prime is 210101201010263. The reversal of 210101201010200 is 2010102101012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 34493709155 + ... + 34493715245.

It is an arithmetic number, because the mean of its divisors is an integer number (2577036621600).

Almost surely, 2^{210101201010200} is an apocalyptic number.

210101201010200 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 210101201010200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247395515673600).

210101201010200 is an abundant number, since it is smaller than the sum of its proper divisors (284689830337000).

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

210101201010200 is a wasteful number, since it uses less digits than its factorization.

210101201010200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9082 (or 9073 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 210101201010200 its reverse (2010102101012), we get a palindrome (212111303111212).

The spelling of 210101201010200 in words is "two hundred ten trillion, one hundred one billion, two hundred one million, ten thousand, two hundred".