102202212110200 has 192 divisors, whose sum is σ = 243508380805440. Its totient is φ = 39880512000000.

The previous prime is 102202212110189. The next prime is 102202212110227. The reversal of 102202212110200 is 2011212202201.

It is a happy number.

It is a congruent number.

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, 2324816220 + ... + 2324860180.

It is an arithmetic number, because the mean of its divisors is an integer number (1268272816695).

Almost surely, 2^{102202212110200} is an apocalyptic number.

102202212110200 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 102202212110200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121754190402720).

102202212110200 is an abundant number, since it is smaller than the sum of its proper divisors (141306168695240).

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

102202212110200 is a wasteful number, since it uses less digits than its factorization.

102202212110200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45770 (or 45761 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 102202212110200 its reverse (2011212202201), we get a palindrome (104213424312401).

The spelling of 102202212110200 in words is "one hundred two trillion, two hundred two billion, two hundred twelve million, one hundred ten thousand, two hundred".