201021985332 has 384 divisors, whose sum is σ = 635035484160. Its totient is φ = 53778816000.

The previous prime is 201021985331. The next prime is 201021985357. The reversal of 201021985332 is 233589120102.

201021985332 is a `hidden beast` number, since 2 + 0 + 10 + 21 + 98 + 533 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201021985331) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 125873958 + ... + 125875554.

It is an arithmetic number, because the mean of its divisors is an integer number (1653738240).

Almost surely, 2^201021985332 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201021985332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317517742080).

201021985332 is an abundant number, since it is smaller than the sum of its proper divisors (434013498828).

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

201021985332 is a wasteful number, since it uses less digits than its factorization.

201021985332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1820 (or 1812 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 201021985332 in words is "two hundred one billion, twenty-one million, nine hundred eighty-five thousand, three hundred thirty-two".