201321100980 has 216 divisors, whose sum is σ = 647321161032. Its totient is φ = 50637975552.

The previous prime is 201321100979. The next prime is 201321100991. The reversal of 201321100980 is 89001123102.

It can be written as a sum of positive squares in 4 ways, for example, as 7886505636 + 193434595344 = 88806^2 + 439812^2 .

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 71 ways as a sum of consecutive naturals, for example, 15133692 + ... + 15146988.

It is an arithmetic number, because the mean of its divisors is an integer number (2996857227).

Almost surely, 2^201321100980 is an apocalyptic number.

201321100980 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 201321100980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (323660580516).

201321100980 is an abundant number, since it is smaller than the sum of its proper divisors (446000060052).

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

201321100980 is a wasteful number, since it uses less digits than its factorization.

201321100980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13583 (or 13559 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The spelling of 201321100980 in words is "two hundred one billion, three hundred twenty-one million, one hundred thousand, nine hundred eighty".