100100012112200 has 192 divisors, whose sum is σ = 247385095626240. Its totient is φ = 37537773281280.

The previous prime is 100100012112187. The next prime is 100100012112253. The reversal of 100100012112200 is 2211210001001.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1069317797 + ... + 1069411403.

It is an arithmetic number, because the mean of its divisors is an integer number (1288464039720).

Almost surely, 2^{100100012112200} is an apocalyptic number.

100100012112200 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 100100012112200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123692547813120).

100100012112200 is an abundant number, since it is smaller than the sum of its proper divisors (147285083514040).

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

100100012112200 is a wasteful number, since it uses less digits than its factorization.

100100012112200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94864 (or 94855 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 100100012112200 its reverse (2211210001001), we get a palindrome (102311222113201).

The spelling of 100100012112200 in words is "one hundred trillion, one hundred billion, twelve million, one hundred twelve thousand, two hundred".