100112211122200 has 96 divisors (see below), whose sum is σ = 244101439008000. Its totient is φ = 38111320748160.

The previous prime is 100112211122141. The next prime is 100112211122221. The reversal of 100112211122200 is 2221112211001.

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 23 ways as a sum of consecutive naturals, for example, 53766822 + ... + 55597621.

It is an arithmetic number, because the mean of its divisors is an integer number (2542723323000).

Almost surely, 2^{100112211122200} is an apocalyptic number.

100112211122200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100112211122200 is an abundant number, since it is smaller than the sum of its proper divisors (143989227885800).

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

100112211122200 is a wasteful number, since it uses less digits than its factorization.

100112211122200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109364681 (or 109364672 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 100112211122200 its reverse (2221112211001), we get a palindrome (102333323333201).

The spelling of 100112211122200 in words is "one hundred trillion, one hundred twelve billion, two hundred eleven million, one hundred twenty-two thousand, two hundred".