100223400312 has 192 divisors, whose sum is σ = 342744929280. Its totient is φ = 25779004416.

The previous prime is 100223400287. The next prime is 100223400373. The reversal of 100223400312 is 213004322001.

100223400312 is a `hidden beast` number, since 10 + 0 + 2 + 2 + 340 + 0 + 312 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 57228 + ... + 451355.

It is an arithmetic number, because the mean of its divisors is an integer number (1785129840).

Almost surely, 2^100223400312 is an apocalyptic number.

100223400312 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 100223400312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171372464640).

100223400312 is an abundant number, since it is smaller than the sum of its proper divisors (242521528968).

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

100223400312 is a wasteful number, since it uses less digits than its factorization.

100223400312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 508642 (or 508635 counting only the distinct ones).

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

Adding to 100223400312 its reverse (213004322001), we get a palindrome (313227722313).

The spelling of 100223400312 in words is "one hundred billion, two hundred twenty-three million, four hundred thousand, three hundred twelve".