200200010112102 has 256 divisors, whose sum is σ = 542634244669440. Its totient is φ = 47550684787200.

The previous prime is 200200010112029. The next prime is 200200010112161. The reversal of 200200010112102 is 201211010002002.

200200010112102 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 127 ways as a sum of consecutive naturals, for example, 3877489827 + ... + 3877541457.

It is an arithmetic number, because the mean of its divisors is an integer number (2119665018240).

Almost surely, 2^{200200010112102} is an apocalyptic number.

200200010112102 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 200200010112102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271317122334720).

200200010112102 is an abundant number, since it is smaller than the sum of its proper divisors (342434234557338).

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

200200010112102 is a wasteful number, since it uses less digits than its factorization.

200200010112102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57699.

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

Adding to 200200010112102 its reverse (201211010002002), we get a palindrome (401411020114104).

The spelling of 200200010112102 in words is "two hundred trillion, two hundred billion, ten million, one hundred twelve thousand, one hundred two".