102202011200200 has 48 divisors (see below), whose sum is σ = 242675413850880. Its totient is φ = 40011000125760.

The previous prime is 102202011200189. The next prime is 102202011200203. The reversal of 102202011200200 is 2002110202201.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (102202011200203) 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 11 ways as a sum of consecutive naturals, for example, 5436267792 + ... + 5436286591.

It is an arithmetic number, because the mean of its divisors is an integer number (5055737788560).

Almost surely, 2^{102202011200200} is an apocalyptic number.

102202011200200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102202011200200 is an abundant number, since it is smaller than the sum of its proper divisors (140473402650680).

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

102202011200200 is a wasteful number, since it uses less digits than its factorization.

102202011200200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10872554446 (or 10872554437 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 102202011200200 its reverse (2002110202201), we get a palindrome (104204121402401).

The spelling of 102202011200200 in words is "one hundred two trillion, two hundred two billion, eleven million, two hundred thousand, two hundred".