221120102112 has 192 divisors, whose sum is σ = 733696879104. Its totient is φ = 56741160960.

The previous prime is 221120101999. The next prime is 221120102129. The reversal of 221120102112 is 211201021122.

It is a junction number, because it is equal to n+sod(n) for n = 221120102091 and 221120102100.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 18814 + ... + 665277.

It is an arithmetic number, because the mean of its divisors is an integer number (3821337912).

Almost surely, 2^221120102112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221120102112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (366848439552).

221120102112 is an abundant number, since it is smaller than the sum of its proper divisors (512576776992).

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

221120102112 is a wasteful number, since it uses less digits than its factorization.

221120102112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 684161 (or 684153 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 221120102112 its reverse (211201021122), we get a palindrome (432321123234).

It can be divided in two parts, 2 and 21120102112, that multiplied together give a palindrome (42240204224).

The spelling of 221120102112 in words is "two hundred twenty-one billion, one hundred twenty million, one hundred two thousand, one hundred twelve".