203401344201000 has 512 divisors, whose sum is σ = 736749343249920. Its totient is φ = 46173259776000.

The previous prime is 203401344200939. The next prime is 203401344201007. The reversal of 203401344201000 is 102443104302.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (203401344201007) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 109596774 + ... + 111437226.

It is an arithmetic number, because the mean of its divisors is an integer number (1438963561035).

Almost surely, 2^{203401344201000} is an apocalyptic number.

203401344201000 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 203401344201000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (368374671624960).

203401344201000 is an abundant number, since it is smaller than the sum of its proper divisors (533347999048920).

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

203401344201000 is a wasteful number, since it uses less digits than its factorization.

203401344201000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1840702 (or 1840688 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 203401344201000 its reverse (102443104302), we get a palindrome (203503787305302).

The spelling of 203401344201000 in words is "two hundred three trillion, four hundred one billion, three hundred forty-four million, two hundred one thousand".