201321002120 has 96 divisors (see below), whose sum is σ = 527062745880. Its totient is φ = 69006551040.

The previous prime is 201321002039. The next prime is 201321002143. The reversal of 201321002120 is 21200123102.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 193876418596 + 7444583524 = 440314^2 + 86282^2 .

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 201321002095 and 201321002104.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9242282 + ... + 9264038.

Almost surely, 2^201321002120 is an apocalyptic number.

201321002120 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 201321002120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263531372940).

201321002120 is an abundant number, since it is smaller than the sum of its proper divisors (325741743760).

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

201321002120 is a wasteful number, since it uses less digits than its factorization.

201321002120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26503 (or 26492 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 201321002120 its reverse (21200123102), we get a palindrome (222521125222).

The spelling of 201321002120 in words is "two hundred one billion, three hundred twenty-one million, two thousand, one hundred twenty".