201333212102000 has 160 divisors (see below), whose sum is σ = 531095011761600. Its totient is φ = 73210063872000.

The previous prime is 201333212101997. The next prime is 201333212102059. The reversal of 201333212102000 is 201212333102.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 969854216 + ... + 970061784.

It is an arithmetic number, because the mean of its divisors is an integer number (3319343823510).

Almost surely, 2^{201333212102000} is an apocalyptic number.

201333212102000 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 201333212102000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265547505880800).

201333212102000 is an abundant number, since it is smaller than the sum of its proper divisors (329761799659600).

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

201333212102000 is a wasteful number, since it uses less digits than its factorization.

201333212102000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251692 (or 251676 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 201333212102000 its reverse (201212333102), we get a palindrome (201534424435102).

The spelling of 201333212102000 in words is "two hundred one trillion, three hundred thirty-three billion, two hundred twelve million, one hundred two thousand".