100203312330 has 192 divisors, whose sum is σ = 312078469248. Its totient is φ = 22862684160.

The previous prime is 100203312329. The next prime is 100203312331. The reversal of 100203312330 is 33213302001.

100203312330 is a `hidden beast` number, since 1 + 0 + 0 + 2 + 0 + 331 + 2 + 330 = 666.

It is an interprime number because it is at equal distance from previous prime (100203312329) and next prime (100203312331).

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

It is not an unprimeable number, because it can be changed into a prime (100203312331) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 344154 + ... + 564666.

It is an arithmetic number, because the mean of its divisors is an integer number (1625408694).

Almost surely, 2^100203312330 is an apocalyptic number.

100203312330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 100203312330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156039234624).

100203312330 is an abundant number, since it is smaller than the sum of its proper divisors (211875156918).

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

100203312330 is a wasteful number, since it uses less digits than its factorization.

100203312330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220563 (or 220551 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 100203312330 its reverse (33213302001), we get a palindrome (133416614331).

The spelling of 100203312330 in words is "one hundred billion, two hundred three million, three hundred twelve thousand, three hundred thirty".