201020332110312 has 128 divisors (see below), whose sum is σ = 590557416624000. Its totient is φ = 56215363568640.

The previous prime is 201020332110281. The next prime is 201020332110313. The reversal of 201020332110312 is 213011233020102.

It is not an unprimeable number, because it can be changed into a prime (201020332110313) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6348514 + ... + 21031982.

It is an arithmetic number, because the mean of its divisors is an integer number (4613729817375).

Almost surely, 2^{201020332110312} is an apocalyptic number.

201020332110312 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 201020332110312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295278708312000).

201020332110312 is an abundant number, since it is smaller than the sum of its proper divisors (389537084513688).

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

201020332110312 is a wasteful number, since it uses less digits than its factorization.

201020332110312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14687491 (or 14687487 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 201020332110312 its reverse (213011233020102), we get a palindrome (414031565130414).

The spelling of 201020332110312 in words is "two hundred one trillion, twenty billion, three hundred thirty-two million, one hundred ten thousand, three hundred twelve".