102221220112 has 60 divisors (see below), whose sum is σ = 217783275388. Its totient is φ = 46445414400.

The previous prime is 102221220077. The next prime is 102221220163. The reversal of 102221220112 is 211022122201.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 85074888976 + 17146331136 = 291676^2 + 130944^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5521912 + ... + 5540392.

Almost surely, 2^102221220112 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 102221220112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108891637694).

102221220112 is an abundant number, since it is smaller than the sum of its proper divisors (115562055276).

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

102221220112 is a wasteful number, since it uses less digits than its factorization.

102221220112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21368 (or 21351 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 102221220112 its reverse (211022122201), we get a palindrome (313243342313).

The spelling of 102221220112 in words is "one hundred two billion, two hundred twenty-one million, two hundred twenty thousand, one hundred twelve".