100221200112 has 80 divisors (see below), whose sum is σ = 289010037888. Its totient is φ = 29663773440.

The previous prime is 100221200111. The next prime is 100221200113. The reversal of 100221200112 is 211002122001.

It is an interprime number because it is at equal distance from previous prime (100221200111) and next prime (100221200113).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100221200111) by changing a digit.

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, 2184423 + ... + 2229830.

Almost surely, 2^100221200112 is an apocalyptic number.

100221200112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100221200112 is an abundant number, since it is smaller than the sum of its proper divisors (188788837776).

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

100221200112 is a wasteful number, since it uses less digits than its factorization.

100221200112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4414318 (or 4414312 counting only the distinct ones).

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

Adding to 100221200112 its reverse (211002122001), we get a palindrome (311223322113).

The spelling of 100221200112 in words is "one hundred billion, two hundred twenty-one million, two hundred thousand, one hundred twelve".