102202200200 has 96 divisors (see below), whose sum is σ = 250452664200. Its totient is φ = 38726338560.

The previous prime is 102202200181. The next prime is 102202200209. The reversal of 102202200200 is 2002202201.

It can be written as a sum of positive squares in 12 ways, for example, as 809630116 + 101392570084 = 28454^2 + 318422^2 .

It is not an unprimeable number, because it can be changed into a prime (102202200209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 141164 + ... + 473636.

Almost surely, 2^102202200200 is an apocalyptic number.

102202200200 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 102202200200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125226332100).

102202200200 is an abundant number, since it is smaller than the sum of its proper divisors (148250464000).

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

102202200200 is a wasteful number, since it uses less digits than its factorization.

102202200200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 332571 (or 332562 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 11.

Adding to 102202200200 its reverse (2002202201), we get a palindrome (104204402401).

The spelling of 102202200200 in words is "one hundred two billion, two hundred two million, two hundred thousand, two hundred".