100112012000 has 576 divisors, whose sum is σ = 332908797312. Its totient is φ = 28790784000.

The previous prime is 100112011991. The next prime is 100112012009. The reversal of 100112012000 is 210211001.

100112012000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (100112011991) and next prime (100112012009).

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100112012009) 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, 44042864 + ... + 44045136.

It is an arithmetic number, because the mean of its divisors is an integer number (577966662).

Almost surely, 2^100112012000 is an apocalyptic number.

100112012000 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 100112012000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166454398656).

100112012000 is an abundant number, since it is smaller than the sum of its proper divisors (232796785312).

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

100112012000 is a wasteful number, since it uses less digits than its factorization.

100112012000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2340 (or 2311 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 100112012000 its reverse (210211001), we get a palindrome (100322223001).

The spelling of 100112012000 in words is "one hundred billion, one hundred twelve million, twelve thousand".