12000102000210 has 320 divisors, whose sum is σ = 33086866412160. Its totient is φ = 3119752350720.

The previous prime is 12000102000179. The next prime is 12000102000287. The reversal of 12000102000210 is 1200020100021.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 12000102000192 and 12000102000201.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 3294014649 + ... + 3294018291.

It is an arithmetic number, because the mean of its divisors is an integer number (103396457538).

Almost surely, 2^{12000102000210} is an apocalyptic number.

12000102000210 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 12000102000210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16543433206080).

12000102000210 is an abundant number, since it is smaller than the sum of its proper divisors (21086764411950).

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

12000102000210 is a wasteful number, since it uses less digits than its factorization.

12000102000210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4295 (or 4286 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 12000102000210 its reverse (1200020100021), we get a palindrome (13200122100231).

The spelling of 12000102000210 in words is "twelve trillion, one hundred two million, two hundred ten", and thus it is an aban number.