200210110102100 has 288 divisors, whose sum is σ = 529456925088000. Its totient is φ = 64186749665280.

The previous prime is 200210110102097. The next prime is 200210110102139. The reversal of 200210110102100 is 1201011012002.

200210110102100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 673376672 + ... + 673673928.

It is an arithmetic number, because the mean of its divisors is an integer number (1838392101000).

Almost surely, 2^{200210110102100} is an apocalyptic number.

200210110102100 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 200210110102100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264728462544000).

200210110102100 is an abundant number, since it is smaller than the sum of its proper divisors (329246814985900).

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

200210110102100 is a wasteful number, since it uses less digits than its factorization.

200210110102100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 297955 (or 297948 counting only the distinct ones).

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

Adding to 200210110102100 its reverse (1201011012002), we get a palindrome (201411121114102).

The spelling of 200210110102100 in words is "two hundred trillion, two hundred ten billion, one hundred ten million, one hundred two thousand, one hundred".