12102210210112 has 224 divisors, whose sum is σ = 26795019450240. Its totient is φ = 5377177681920.

The previous prime is 12102210210091. The next prime is 12102210210113. The reversal of 12102210210112 is 21101201220121.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12102210210113) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 4160263314 + ... + 4160266222.

Almost surely, 2^{12102210210112} 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 12102210210112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13397509725120).

12102210210112 is an abundant number, since it is smaller than the sum of its proper divisors (14692809240128).

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

12102210210112 is a wasteful number, since it uses less digits than its factorization.

12102210210112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3649 (or 3639 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 12102210210112 its reverse (21101201220121), we get a palindrome (33203411430233).

The spelling of 12102210210112 in words is "twelve trillion, one hundred two billion, two hundred ten million, two hundred ten thousand, one hundred twelve".