201033201120 has 192 divisors, whose sum is σ = 650925688896. Its totient is φ = 52115374080.

The previous prime is 201033201059. The next prime is 201033201137. The reversal of 201033201120 is 21102330102.

201033201120 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 201033201120.

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 31 ways as a sum of consecutive naturals, for example, 24167202 + ... + 24175518.

It is an arithmetic number, because the mean of its divisors is an integer number (3390237963).

Almost surely, 2^201033201120 is an apocalyptic number.

201033201120 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 201033201120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (325462844448).

201033201120 is an abundant number, since it is smaller than the sum of its proper divisors (449892487776).

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

201033201120 is a wasteful number, since it uses less digits than its factorization.

201033201120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9733 (or 9725 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 201033201120 its reverse (21102330102), we get a palindrome (222135531222).

It can be divided in two parts, 20103 and 3201120, that added together give a palindrome (3221223).

The spelling of 201033201120 in words is "two hundred one billion, thirty-three million, two hundred one thousand, one hundred twenty".