100221102112 has 24 divisors (see below), whose sum is σ = 207695048400. Its totient is φ = 47473153344.

The previous prime is 100221102053. The next prime is 100221102143. The reversal of 100221102112 is 211201122001.

It is a junction number, because it is equal to n+sod(n) for n = 100221102092 and 100221102101.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 82418062 + ... + 82419277.

It is an arithmetic number, because the mean of its divisors is an integer number (8653960350).

Almost surely, 2^100221102112 is an apocalyptic number.

It is an amenable number.

100221102112 is an abundant number, since it is smaller than the sum of its proper divisors (107473946288).

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

100221102112 is a wasteful number, since it uses less digits than its factorization.

100221102112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164837368 (or 164837360 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 100221102112 its reverse (211201122001), we get a palindrome (311422224113).

The spelling of 100221102112 in words is "one hundred billion, two hundred twenty-one million, one hundred two thousand, one hundred twelve".