201001321020312 has 192 divisors, whose sum is σ = 558256862592000. Its totient is φ = 65304279946752.

The previous prime is 201001321020299. The next prime is 201001321020343. The reversal of 201001321020312 is 213020123100102.

201001321020312 is a `hidden beast` number, since 2 + 0 + 10 + 0 + 1 + 321 + 0 + 20 + 312 = 666.

It is a super-3 number, since 3×201001321020312³ (a number of 44 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2855949139 + ... + 2856019517.

It is an arithmetic number, because the mean of its divisors is an integer number (2907587826000).

Almost surely, 2^{201001321020312} 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 201001321020312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279128431296000).

201001321020312 is an abundant number, since it is smaller than the sum of its proper divisors (357255541571688).

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

201001321020312 is a wasteful number, since it uses less digits than its factorization.

201001321020312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73910 (or 73903 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 201001321020312 its reverse (213020123100102), we get a palindrome (414021444120414).

The spelling of 201001321020312 in words is "two hundred one trillion, one billion, three hundred twenty-one million, twenty thousand, three hundred twelve".