201121221300 has 72 divisors (see below), whose sum is σ = 581959689696. Its totient is φ = 53627813760.

The previous prime is 201121221251. The next prime is 201121221311. The reversal of 201121221300 is 3122121102.

201121221300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 201121221300.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5088414 + ... + 5127786.

It is an arithmetic number, because the mean of its divisors is an integer number (8082773468).

Almost surely, 2^201121221300 is an apocalyptic number.

201121221300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201121221300 is an abundant number, since it is smaller than the sum of its proper divisors (380838468396).

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

201121221300 is a wasteful number, since it uses less digits than its factorization.

201121221300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56417 (or 56410 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 201121221300 its reverse (3122121102), we get a palindrome (204243342402).

The spelling of 201121221300 in words is "two hundred one billion, one hundred twenty-one million, two hundred twenty-one thousand, three hundred".