210101111000200 has 192 divisors, whose sum is σ = 568835718433920. Its totient is φ = 70677066240000.

The previous prime is 210101111000197. The next prime is 210101111000213. The reversal of 210101111000200 is 2000111101012.

210101111000200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×210101111000200² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

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, 31177819 + ... + 37312981.

It is an arithmetic number, because the mean of its divisors is an integer number (2962686033510).

Almost surely, 2^{210101111000200} is an apocalyptic number.

210101111000200 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 210101111000200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284417859216960).

210101111000200 is an abundant number, since it is smaller than the sum of its proper divisors (358734607433720).

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

210101111000200 is a wasteful number, since it uses less digits than its factorization.

210101111000200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6135648 (or 6135639 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 210101111000200 its reverse (2000111101012), we get a palindrome (212101222101212).

The spelling of 210101111000200 in words is "two hundred ten trillion, one hundred one billion, one hundred eleven million, two hundred", and thus it is an aban number.