203401332100 has 144 divisors (see below), whose sum is σ = 465470208000. Its totient is φ = 77047372800.

The previous prime is 203401332061. The next prime is 203401332107. The reversal of 203401332100 is 1233104302.

It is not an unprimeable number, because it can be changed into a prime (203401332107) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 75696957 + ... + 75699643.

It is an arithmetic number, because the mean of its divisors is an integer number (3232432000).

Almost surely, 2^203401332100 is an apocalyptic number.

203401332100 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 203401332100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232735104000).

203401332100 is an abundant number, since it is smaller than the sum of its proper divisors (262068875900).

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

203401332100 is a wasteful number, since it uses less digits than its factorization.

203401332100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3278 (or 3271 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

Adding to 203401332100 its reverse (1233104302), we get a palindrome (204634436402).

The spelling of 203401332100 in words is "two hundred three billion, four hundred one million, three hundred thirty-two thousand, one hundred".