102210220112 has 160 divisors (see below), whose sum is σ = 266752093440. Its totient is φ = 36639682560.

The previous prime is 102210220103. The next prime is 102210220117. The reversal of 102210220112 is 211022012201.

102210220112 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102210220117) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5002814 + ... + 5023202.

It is an arithmetic number, because the mean of its divisors is an integer number (1667200584).

Almost surely, 2^102210220112 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 102210220112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133376046720).

102210220112 is an abundant number, since it is smaller than the sum of its proper divisors (164541873328).

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

102210220112 is a wasteful number, since it uses less digits than its factorization.

102210220112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20741 (or 20735 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 102210220112 its reverse (211022012201), we get a palindrome (313232232313).

It can be divided in two parts, 10 and 2210220112, that added together give a palindrome (2210220122).

The spelling of 102210220112 in words is "one hundred two billion, two hundred ten million, two hundred twenty thousand, one hundred twelve".