201121300 has 36 divisors (see below), whose sum is σ = 440776476. Its totient is φ = 79648000.

The previous prime is 201121267. The next prime is 201121301. The reversal of 201121300 is 3121102.

It can be written as a sum of positive squares in 6 ways, for example, as 5513104 + 195608196 = 2348^2 + 13986^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201121301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 144 + ... + 20056.

It is an arithmetic number, because the mean of its divisors is an integer number (12243791).

Almost surely, 2^201121300 is an apocalyptic number.

201121300 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 201121300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220388238).

201121300 is an abundant number, since it is smaller than the sum of its proper divisors (239655176).

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

201121300 is a wasteful number, since it uses less digits than its factorization.

201121300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20028 (or 20021 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

The square root of 201121300 is about 14181.7241546999. The cubic root of 201121300 is about 585.8944118952.

Adding to 201121300 its reverse (3121102), we get a palindrome (204242402).

It can be divided in two parts, 20112 and 1300, that added together give a palindrome (21412).

The spelling of 201121300 in words is "two hundred one million, one hundred twenty-one thousand, three hundred".