200103103200000 has 5184 divisors, whose sum is σ = 927839453474304. Its totient is φ = 37623398400000.

The previous prime is 200103103199983. The next prime is 200103103200059. The reversal of 200103103200000 is 2301301002.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

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 575 ways as a sum of consecutive naturals, for example, 1227626399919 + ... + 1227626400081.

It is an arithmetic number, because the mean of its divisors is an integer number (178981376056).

Almost surely, 2^{200103103200000} is an apocalyptic number.

200103103200000 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 200103103200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (463919726737152).

200103103200000 is an abundant number, since it is smaller than the sum of its proper divisors (727736350274304).

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

200103103200000 is a wasteful number, since it uses less digits than its factorization.

200103103200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318 (or 277 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 200103103200000 its reverse (2301301002), we get a palindrome (200105404501002).

The spelling of 200103103200000 in words is "two hundred trillion, one hundred three billion, one hundred three million, two hundred thousand".