102000020200 has 192 divisors, whose sum is σ = 259461362160. Its totient is φ = 37066014720.

The previous prime is 102000020189. The next prime is 102000020207. The reversal of 102000020200 is 2020000201.

It is a happy number.

It can be written as a sum of positive squares in 24 ways, for example, as 112656996 + 101887363204 = 10614^2 + 319198^2 .

It is not an unprimeable number, because it can be changed into a prime (102000020207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 49682374 + ... + 49684426.

Almost surely, 2^102000020200 is an apocalyptic number.

102000020200 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 102000020200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129730681080).

102000020200 is an abundant number, since it is smaller than the sum of its proper divisors (157461341960).

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

102000020200 is a wasteful number, since it uses less digits than its factorization.

102000020200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2376 (or 2367 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 7.

Adding to 102000020200 its reverse (2020000201), we get a palindrome (104020020401).

The spelling of 102000020200 in words is "one hundred two billion, twenty thousand, two hundred".