203201120100 has 216 divisors, whose sum is σ = 646980500320. Its totient is φ = 49204108800.

The previous prime is 203201120081. The next prime is 203201120131. The reversal of 203201120100 is 1021102302.

203201120100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 37495191 + ... + 37500609.

Almost surely, 2^203201120100 is an apocalyptic number.

203201120100 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 203201120100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (323490250160).

203201120100 is an abundant number, since it is smaller than the sum of its proper divisors (443779380220).

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

203201120100 is a wasteful number, since it uses less digits than its factorization.

203201120100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6491 (or 6473 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 203201120100 its reverse (1021102302), we get a palindrome (204222222402).

The spelling of 203201120100 in words is "two hundred three billion, two hundred one million, one hundred twenty thousand, one hundred".