2130312000210 has 256 divisors, whose sum is σ = 5402998080000. Its totient is φ = 536839446528.

The previous prime is 2130312000169. The next prime is 2130312000221. The reversal of 2130312000210 is 120002130312.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 2130312000210.

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 5620875801 + ... + 5620876179.

It is an arithmetic number, because the mean of its divisors is an integer number (21105461250).

Almost surely, 2^{2130312000210} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2130312000210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2701499040000).

2130312000210 is an abundant number, since it is smaller than the sum of its proper divisors (3272686079790).

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

2130312000210 is a wasteful number, since it uses less digits than its factorization.

2130312000210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1053.

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 2130312000210 its reverse (120002130312), we get a palindrome (2250314130522).

The spelling of 2130312000210 in words is "two trillion, one hundred thirty billion, three hundred twelve million, two hundred ten", and thus it is an aban number.