210011101102200 has 192 divisors, whose sum is σ = 666318731443200. Its totient is φ = 54688743244800.

The previous prime is 210011101102199. The next prime is 210011101102277. The reversal of 210011101102200 is 2201101110012.

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 118808860 + ... + 120563540.

It is an arithmetic number, because the mean of its divisors is an integer number (3470410059600).

Almost surely, 2^{210011101102200} is an apocalyptic number.

210011101102200 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 210011101102200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (333159365721600).

210011101102200 is an abundant number, since it is smaller than the sum of its proper divisors (456307630341000).

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

210011101102200 is a wasteful number, since it uses less digits than its factorization.

210011101102200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1759382 (or 1759373 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 210011101102200 its reverse (2201101110012), we get a palindrome (212212202212212).

The spelling of 210011101102200 in words is "two hundred ten trillion, eleven billion, one hundred one million, one hundred two thousand, two hundred".