10200001200200 has 432 divisors, whose sum is σ = 29343710520720. Its totient is φ = 3287088752640.

The previous prime is 10200001200199. The next prime is 10200001200209. The reversal of 10200001200200 is 200210000201.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is not an unprimeable number, because it can be changed into a prime (10200001200209) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 2682091499 + ... + 2682095301.

It is an arithmetic number, because the mean of its divisors is an integer number (67925255835).

Almost surely, 2^{10200001200200} is an apocalyptic number.

10200001200200 is a gapful number since it is divisible by the number (10) 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 10200001200200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14671855260360).

10200001200200 is an abundant number, since it is smaller than the sum of its proper divisors (19143709320520).

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

10200001200200 is a wasteful number, since it uses less digits than its factorization.

10200001200200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4814 (or 4781 counting only the distinct ones).

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

Adding to 10200001200200 its reverse (200210000201), we get a palindrome (10400211200401).

The spelling of 10200001200200 in words is "ten trillion, two hundred billion, one million, two hundred thousand, two hundred".