100112012200200 has 2304 divisors, whose sum is σ = 433261047018240. Its totient is φ = 18793119744000.

The previous prime is 100112012200181. The next prime is 100112012200201. The reversal of 100112012200200 is 2002210211001.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (100112012200201) by changing a digit.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 42046203010 + ... + 42046205390.

It is an arithmetic number, because the mean of its divisors is an integer number (188047329435).

Almost surely, 2^{100112012200200} is an apocalyptic number.

100112012200200 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 100112012200200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216630523509120).

100112012200200 is an abundant number, since it is smaller than the sum of its proper divisors (333149034818040).

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

100112012200200 is a wasteful number, since it uses less digits than its factorization.

100112012200200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2648 (or 2632 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 100112012200200 its reverse (2002210211001), we get a palindrome (102114222411201).

The spelling of 100112012200200 in words is "one hundred trillion, one hundred twelve billion, twelve million, two hundred thousand, two hundred".