230102113120200 has 288 divisors, whose sum is σ = 773726002920000. Its totient is φ = 61283866913280.

The previous prime is 230102113120193. The next prime is 230102113120213. The reversal of 230102113120200 is 2021311201032.

230102113120200 is a `hidden beast` number, since 230 + 1 + 0 + 2 + 113 + 120 + 200 = 666.

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 71 ways as a sum of consecutive naturals, for example, 6062159622 + ... + 6062197578.

It is an arithmetic number, because the mean of its divisors is an integer number (2686548621250).

Almost surely, 2^{230102113120200} is an apocalyptic number.

230102113120200 is a gapful number since it is divisible by the number (20) 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 230102113120200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (386863001460000).

230102113120200 is an abundant number, since it is smaller than the sum of its proper divisors (543623889799800).

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

230102113120200 is a wasteful number, since it uses less digits than its factorization.

230102113120200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42101 (or 42089 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 230102113120200 its reverse (2021311201032), we get a palindrome (232123424321232).

The spelling of 230102113120200 in words is "two hundred thirty trillion, one hundred two billion, one hundred thirteen million, one hundred twenty thousand, two hundred".