203124320100 has 216 divisors, whose sum is σ = 709301971560. Its totient is φ = 48275619840.

The previous prime is 203124320027. The next prime is 203124320141. The reversal of 203124320100 is 1023421302.

203124320100 is a `hidden beast` number, since 20 + 312 + 4 + 320 + 10 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 94947794496 + 108176525604 = 308136^2 + 328902^2 .

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

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, 39972 + ... + 638628.

Almost surely, 2^203124320100 is an apocalyptic number.

203124320100 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 203124320100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354650985780).

203124320100 is an abundant number, since it is smaller than the sum of its proper divisors (506177651460).

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

203124320100 is a wasteful number, since it uses less digits than its factorization.

203124320100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 598719 (or 598709 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 203124320100 its reverse (1023421302), we get a palindrome (204147741402).

The spelling of 203124320100 in words is "two hundred three billion, one hundred twenty-four million, three hundred twenty thousand, one hundred".