202100001200200 has 192 divisors, whose sum is σ = 485032236820560. Its totient is φ = 78256310353920.

The previous prime is 202100001200191. The next prime is 202100001200219. The reversal of 202100001200200 is 2002100001202.

It can be written as a sum of positive squares in 24 ways, for example, as 1140628272004 + 200959372928196 = 1068002^2 + 14176014^2 .

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, 2236242214 + ... + 2236332586.

Almost surely, 2^{202100001200200} is an apocalyptic number.

202100001200200 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 202100001200200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242516118410280).

202100001200200 is an abundant number, since it is smaller than the sum of its proper divisors (282932235620360).

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

202100001200200 is a wasteful number, since it uses less digits than its factorization.

202100001200200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91956 (or 91947 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 202100001200200 its reverse (2002100001202), we get a palindrome (204102101201402).

The spelling of 202100001200200 in words is "two hundred two trillion, one hundred billion, one million, two hundred thousand, two hundred".