2121201000320 has 192 divisors, whose sum is σ = 5420583633600. Its totient is φ = 792789258240.

The previous prime is 2121201000301. The next prime is 2121201000337. The reversal of 2121201000320 is 230001021212.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 2121201000295 and 2121201000304.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17776697 + ... + 17895623.

It is an arithmetic number, because the mean of its divisors is an integer number (28232206425).

Almost surely, 2^{2121201000320} is an apocalyptic number.

2121201000320 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 2121201000320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2710291816800).

2121201000320 is an abundant number, since it is smaller than the sum of its proper divisors (3299382633280).

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

2121201000320 is a wasteful number, since it uses less digits than its factorization.

2121201000320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119037 (or 118994 counting only the distinct ones).

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

Adding to 2121201000320 its reverse (230001021212), we get a palindrome (2351202021532).

The spelling of 2121201000320 in words is "two trillion, one hundred twenty-one billion, two hundred one million, three hundred twenty", and thus it is an aban number.