100343112000 has 896 divisors, whose sum is σ = 377271198720. Its totient is φ = 23438131200.

The previous prime is 100343111993. The next prime is 100343112041. The reversal of 100343112000 is 211343001.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2711975982 + ... + 2711976018.

Almost surely, 2^100343112000 is an apocalyptic number.

100343112000 is a gapful number since it is divisible by the number (10) 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 100343112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188635599360).

100343112000 is an abundant number, since it is smaller than the sum of its proper divisors (276928086720).

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

100343112000 is an equidigital number, since it uses as much as digits as its factorization.

100343112000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 100343112000 its reverse (211343001), we get a palindrome (100554455001).

The spelling of 100343112000 in words is "one hundred billion, three hundred forty-three million, one hundred twelve thousand".