100203222312 has 256 divisors, whose sum is σ = 297960768000. Its totient is φ = 31143168000.

The previous prime is 100203222311. The next prime is 100203222323. The reversal of 100203222312 is 213222302001.

100203222312 is a `hidden beast` number, since 10 + 0 + 20 + 322 + 2 + 312 = 666.

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 (100203222311) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 25937293 + ... + 25941155.

It is an arithmetic number, because the mean of its divisors is an integer number (1163909250).

Almost surely, 2^100203222312 is an apocalyptic number.

100203222312 is a gapful number since it is divisible by the number (12) 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 100203222312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148980384000).

100203222312 is an abundant number, since it is smaller than the sum of its proper divisors (197757545688).

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

100203222312 is a wasteful number, since it uses less digits than its factorization.

100203222312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4049 (or 4039 counting only the distinct ones).

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

Adding to 100203222312 its reverse (213222302001), we get a palindrome (313425524313).

The spelling of 100203222312 in words is "one hundred billion, two hundred three million, two hundred twenty-two thousand, three hundred twelve".