210132321213012 has 384 divisors, whose sum is σ = 598496020674048. Its totient is φ = 56644263936000.

The previous prime is 210132321212987. The next prime is 210132321213047. The reversal of 210132321213012 is 210312123231012.

It is a super-2 number, since 2×210132321213012² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 444212488 + ... + 444685280.

It is an arithmetic number, because the mean of its divisors is an integer number (1558583387172).

Almost surely, 2^{210132321213012} is an apocalyptic number.

210132321213012 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 210132321213012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299248010337024).

210132321213012 is an abundant number, since it is smaller than the sum of its proper divisors (388363699461036).

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

210132321213012 is a wasteful number, since it uses less digits than its factorization.

210132321213012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 473019 (or 473017 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 210132321213012 its reverse (210312123231012), we get a palindrome (420444444444024).

The spelling of 210132321213012 in words is "two hundred ten trillion, one hundred thirty-two billion, three hundred twenty-one million, two hundred thirteen thousand, twelve".