100112020012000 has 192 divisors, whose sum is σ = 247937671275840. Its totient is φ = 39726387456000.

The previous prime is 100112020011977. The next prime is 100112020012021. The reversal of 100112020012000 is 210020211001.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 301269942 + ... + 301602058.

It is an arithmetic number, because the mean of its divisors is an integer number (1291342037895).

Almost surely, 2^{100112020012000} is an apocalyptic number.

100112020012000 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 100112020012000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123968835637920).

100112020012000 is an abundant number, since it is smaller than the sum of its proper divisors (147825651263840).

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

100112020012000 is a wasteful number, since it uses less digits than its factorization.

100112020012000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 332742 (or 332724 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 100112020012000 its reverse (210020211001), we get a palindrome (100322040223001).

The spelling of 100112020012000 in words is "one hundred trillion, one hundred twelve billion, twenty million, twelve thousand".