102302113113200 has 2160 divisors, whose sum is σ = 377241950907360. Its totient is φ = 26241623654400.

The previous prime is 102302113113199. The next prime is 102302113113203. The reversal of 102302113113200 is 2311311203201.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102302113113203) by changing a digit.

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 431 ways as a sum of consecutive naturals, for example, 9958343264 + ... + 9958353536.

It is an arithmetic number, because the mean of its divisors is an integer number (174649051346).

Almost surely, 2^{102302113113200} is an apocalyptic number.

102302113113200 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 102302113113200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188620975453680).

102302113113200 is an abundant number, since it is smaller than the sum of its proper divisors (274939837794160).

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

102302113113200 is a wasteful number, since it uses less digits than its factorization.

102302113113200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10376 (or 10347 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 102302113113200 its reverse (2311311203201), we get a palindrome (104613424316401).

The spelling of 102302113113200 in words is "one hundred two trillion, three hundred two billion, one hundred thirteen million, one hundred thirteen thousand, two hundred".