102221122112 has 112 divisors (see below), whose sum is σ = 212856129024. Its totient is φ = 48646656000.

The previous prime is 102221122103. The next prime is 102221122127. The reversal of 102221122112 is 211221122201.

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 15 ways as a sum of consecutive naturals, for example, 66766787 + ... + 66768317.

It is an arithmetic number, because the mean of its divisors is an integer number (1900501152).

Almost surely, 2^102221122112 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 102221122112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106428064512).

102221122112 is an abundant number, since it is smaller than the sum of its proper divisors (110635006912).

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

102221122112 is a wasteful number, since it uses less digits than its factorization.

102221122112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2108 (or 2098 counting only the distinct ones).

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

Adding to 102221122112 its reverse (211221122201), we get a palindrome (313442244313).

The spelling of 102221122112 in words is "one hundred two billion, two hundred twenty-one million, one hundred twenty-two thousand, one hundred twelve".