102003203203200 has 1152 divisors, whose sum is σ = 409442317764480. Its totient is φ = 23991465738240.

The previous prime is 102003203203171. The next prime is 102003203203201. The reversal of 102003203203200 is 2302302300201.

It is a happy number.

102003203203200 is a `hidden beast` number, since 1 + 0 + 2 + 0 + 0 + 3 + 20 + 320 + 320 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is not an unprimeable number, because it can be changed into a prime (102003203203201) 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 143 ways as a sum of consecutive naturals, for example, 8895363867 + ... + 8895375333.

It is an arithmetic number, because the mean of its divisors is an integer number (355418678615).

Almost surely, 2^{102003203203200} is an apocalyptic number.

102003203203200 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 102003203203200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204721158882240).

102003203203200 is an abundant number, since it is smaller than the sum of its proper divisors (307439114561280).

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

102003203203200 is a wasteful number, since it uses less digits than its factorization.

102003203203200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12566 (or 12546 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 102003203203200 its reverse (2302302300201), we get a palindrome (104305505503401).

The spelling of 102003203203200 in words is "one hundred two trillion, three billion, two hundred three million, two hundred three thousand, two hundred".