102300223012200 has 960 divisors, whose sum is σ = 379109068800000. Its totient is φ = 25492153489920.

The previous prime is 102300223012199. The next prime is 102300223012223. The reversal of 102300223012200 is 2210322003201.

102300223012200 is a `hidden beast` number, since 1 + 0 + 230 + 0 + 2 + 230 + 1 + 2 + 200 = 666.

102300223012200 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 45690138681 + ... + 45690140919.

It is an arithmetic number, because the mean of its divisors is an integer number (394905280000).

Almost surely, 2^{102300223012200} is an apocalyptic number.

102300223012200 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 102300223012200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189554534400000).

102300223012200 is an abundant number, since it is smaller than the sum of its proper divisors (276808845787800).

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

102300223012200 is a wasteful number, since it uses less digits than its factorization.

102300223012200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4244 (or 4226 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 102300223012200 its reverse (2210322003201), we get a palindrome (104510545015401).

The spelling of 102300223012200 in words is "one hundred two trillion, three hundred billion, two hundred twenty-three million, twelve thousand, two hundred".