12102110152000 has 224 divisors, whose sum is σ = 32725838186496. Its totient is φ = 4396684032000.

The previous prime is 12102110151917. The next prime is 12102110152001. The reversal of 12102110152000 is 25101120121.

It is a super-2 number, since 2×12102110152000² (a number of 27 digits) contains 22 as substring.

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 (12102110152001) 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 31 ways as a sum of consecutive naturals, for example, 95592742 + ... + 95719258.

It is an arithmetic number, because the mean of its divisors is an integer number (146097491904).

Almost surely, 2^{12102110152000} is an apocalyptic number.

12102110152000 is a gapful number since it is divisible by the number (10) 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 12102110152000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16362919093248).

12102110152000 is an abundant number, since it is smaller than the sum of its proper divisors (20623728034496).

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

12102110152000 is a wasteful number, since it uses less digits than its factorization.

12102110152000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127642 (or 127622 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 16.

Adding to 12102110152000 its reverse (25101120121), we get a palindrome (12127211272121).

The spelling of 12102110152000 in words is "twelve trillion, one hundred two billion, one hundred ten million, one hundred fifty-two thousand".