210002112102112 has 144 divisors (see below), whose sum is σ = 458688372760800. Its totient is φ = 94568127160320.

The previous prime is 210002112102067. The next prime is 210002112102127. The reversal of 210002112102112 is 211201211200012.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 178948168 + ... + 180117880.

It is an arithmetic number, because the mean of its divisors is an integer number (3185335921950).

Almost surely, 2^{210002112102112} is an apocalyptic number.

210002112102112 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 210002112102112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229344186380400).

210002112102112 is an abundant number, since it is smaller than the sum of its proper divisors (248686260658688).

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

210002112102112 is a wasteful number, since it uses less digits than its factorization.

210002112102112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1170177 (or 1170158 counting only the distinct ones).

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

Adding to 210002112102112 its reverse (211201211200012), we get a palindrome (421203323302124).

The spelling of 210002112102112 in words is "two hundred ten trillion, two billion, one hundred twelve million, one hundred two thousand, one hundred twelve".