12102012002010 has 512 divisors, whose sum is σ = 36563672678400. Its totient is φ = 2503013990400.

The previous prime is 12102012001993. The next prime is 12102012002011. The reversal of 12102012002010 is 1020021020121.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (12102012002011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1372261381 + ... + 1372270199.

It is an arithmetic number, because the mean of its divisors is an integer number (71413423200).

Almost surely, 2^{12102012002010} is an apocalyptic number.

12102012002010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12102012002010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18281836339200).

12102012002010 is an abundant number, since it is smaller than the sum of its proper divisors (24461660676390).

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

12102012002010 is a wasteful number, since it uses less digits than its factorization.

12102012002010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9086.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 12102012002010 its reverse (1020021020121), we get a palindrome (13122033022131).

The spelling of 12102012002010 in words is "twelve trillion, one hundred two billion, twelve million, two thousand, ten".