100221122200112 has 80 divisors (see below), whose sum is σ = 196936934515200. Its totient is φ = 49403774434560.

The previous prime is 100221122200099. The next prime is 100221122200189. The reversal of 100221122200112 is 211002221122001.

100221122200112 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2605901939 + ... + 2605940397.

It is an arithmetic number, because the mean of its divisors is an integer number (2461711681440).

Almost surely, 2^{100221122200112} is an apocalyptic number.

It is an amenable number.

100221122200112 is a deficient number, since it is larger than the sum of its proper divisors (96715812315088).

100221122200112 is a wasteful number, since it uses less digits than its factorization.

100221122200112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46674 (or 46668 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 100221122200112 its reverse (211002221122001), we get a palindrome (311223343322113).

The spelling of 100221122200112 in words is "one hundred trillion, two hundred twenty-one billion, one hundred twenty-two million, two hundred thousand, one hundred twelve".