201213210000000 has 1024 divisors, whose sum is σ = 736162396669440. Its totient is φ = 48288000000000.

The previous prime is 201213209999993. The next prime is 201213210000001. The reversal of 201213210000000 is 12312102.

201213210000000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (201213210000001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 33329996982 + ... + 33330003018.

Almost surely, 2^{201213210000000} is an apocalyptic number.

201213210000000 is a gapful number since it is divisible by the number (20) 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 201213210000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (368081198334720).

201213210000000 is an abundant number, since it is smaller than the sum of its proper divisors (534949186669440).

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

201213210000000 is an frugal number, since it uses more digits than its factorization.

201213210000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6201 (or 6159 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 201213210000000 its reverse (12312102), we get a palindrome (201213222312102).

The spelling of 201213210000000 in words is "two hundred one trillion, two hundred thirteen billion, two hundred ten million", and thus it is an aban number.