102301201312200 has 288 divisors, whose sum is σ = 375008330118240. Its totient is φ = 24786135475200.

The previous prime is 102301201312159. The next prime is 102301201312273. The reversal of 102301201312200 is 2213102103201.

102301201312200 is a `hidden beast` number, since 1 + 0 + 2 + 30 + 120 + 1 + 312 + 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 pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 33235719 + ... + 36183081.

It is an arithmetic number, because the mean of its divisors is an integer number (1302112257355).

Almost surely, 2^{102301201312200} is an apocalyptic number.

102301201312200 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 102301201312200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187504165059120).

102301201312200 is an abundant number, since it is smaller than the sum of its proper divisors (272707128806040).

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

102301201312200 is a wasteful number, since it uses less digits than its factorization.

102301201312200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2949149 (or 2949137 counting only the distinct ones).

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

Adding to 102301201312200 its reverse (2213102103201), we get a palindrome (104514303415401).

The spelling of 102301201312200 in words is "one hundred two trillion, three hundred one billion, two hundred one million, three hundred twelve thousand, two hundred".