102300320311200 has 432 divisors, whose sum is σ = 414242882071200. Its totient is φ = 23494810060800.

The previous prime is 102300320311183. The next prime is 102300320311327. The reversal of 102300320311200 is 2113023003201.

102300320311200 is a `hidden beast` number, since 1 + 0 + 2 + 30 + 0 + 320 + 311 + 2 + 0 + 0 = 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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 32486535 + ... + 35496134.

It is an arithmetic number, because the mean of its divisors is an integer number (958895560350).

Almost surely, 2^{102300320311200} is an apocalyptic number.

102300320311200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102300320311200 is an abundant number, since it is smaller than the sum of its proper divisors (311942561760000).

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

102300320311200 is a wasteful number, since it uses less digits than its factorization.

102300320311200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67982725 (or 67982709 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 102300320311200 its reverse (2113023003201), we get a palindrome (104413343314401).

The spelling of 102300320311200 in words is "one hundred two trillion, three hundred billion, three hundred twenty million, three hundred eleven thousand, two hundred".