102314202200 has 96 divisors (see below), whose sum is σ = 273272792160. Its totient is φ = 34897305600.

The previous prime is 102314202197. The next prime is 102314202217. The reversal of 102314202200 is 2202413201.

It is a congruent number.

It is an unprimeable number.

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, 80870 + ... + 459530.

It is an arithmetic number, because the mean of its divisors is an integer number (2846591585).

Almost surely, 2^102314202200 is an apocalyptic number.

102314202200 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 102314202200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136636396080).

102314202200 is an abundant number, since it is smaller than the sum of its proper divisors (170958589960).

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

102314202200 is a wasteful number, since it uses less digits than its factorization.

102314202200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 378877 (or 378868 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

Adding to 102314202200 its reverse (2202413201), we get a palindrome (104516615401).

The spelling of 102314202200 in words is "one hundred two billion, three hundred fourteen million, two hundred two thousand, two hundred".