201033223120 has 20 divisors (see below), whose sum is σ = 467402243940. Its totient is φ = 80413289216.

The previous prime is 201033223117. The next prime is 201033223123. The reversal of 201033223120 is 21322330102.

201033223120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (201033223117) and next prime (201033223123).

It can be written as a sum of positive squares in 2 ways, for example, as 143810842176 + 57222380944 = 379224^2 + 239212^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201033223123) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 1256457565 + ... + 1256457724.

It is an arithmetic number, because the mean of its divisors is an integer number (23370112197).

Almost surely, 2^201033223120 is an apocalyptic number.

201033223120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201033223120 is an abundant number, since it is smaller than the sum of its proper divisors (266369020820).

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

201033223120 is a wasteful number, since it uses less digits than its factorization.

201033223120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2512915302 (or 2512915296 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

Adding to 201033223120 its reverse (21322330102), we get a palindrome (222355553222).

The spelling of 201033223120 in words is "two hundred one billion, thirty-three million, two hundred twenty-three thousand, one hundred twenty".