201033121120 has 96 divisors (see below), whose sum is σ = 511826491008. Its totient is φ = 74176555008.

The previous prime is 201033121117. The next prime is 201033121127. The reversal of 201033121120 is 21121330102.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 201033121094 and 201033121103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201033121127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3060462 + ... + 3125458.

It is an arithmetic number, because the mean of its divisors is an integer number (5331525948).

Almost surely, 2^201033121120 is an apocalyptic number.

201033121120 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 201033121120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255913245504).

201033121120 is an abundant number, since it is smaller than the sum of its proper divisors (310793369888).

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

201033121120 is a wasteful number, since it uses less digits than its factorization.

201033121120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66512 (or 66504 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 201033121120 its reverse (21121330102), we get a palindrome (222154451222).

The spelling of 201033121120 in words is "two hundred one billion, thirty-three million, one hundred twenty-one thousand, one hundred twenty".