201330332121000 has 512 divisors, whose sum is σ = 681385524019200. Its totient is φ = 49295573913600.

The previous prime is 201330332120993. The next prime is 201330332121049. The reversal of 201330332121000 is 121233033102.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1839872289 + ... + 1839981711.

It is an arithmetic number, because the mean of its divisors is an integer number (1330831101600).

Almost surely, 2^{201330332121000} is an apocalyptic number.

201330332121000 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 201330332121000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340692762009600).

201330332121000 is an abundant number, since it is smaller than the sum of its proper divisors (480055191898200).

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

201330332121000 is a wasteful number, since it uses less digits than its factorization.

201330332121000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110346 (or 110332 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 201330332121000 its reverse (121233033102), we get a palindrome (201451565154102).

The spelling of 201330332121000 in words is "two hundred one trillion, three hundred thirty billion, three hundred thirty-two million, one hundred twenty-one thousand".