201133322110120 has 128 divisors (see below), whose sum is σ = 469247730336000. Its totient is φ = 77541594310656.

The previous prime is 201133322110103. The next prime is 201133322110139. The reversal of 201133322110120 is 21011223331102.

It is a super-2 number, since 2×201133322110120² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 201133322110091 and 201133322110100.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 36796306 + ... + 41907454.

It is an arithmetic number, because the mean of its divisors is an integer number (3665997893250).

Almost surely, 2^{201133322110120} is an apocalyptic number.

201133322110120 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 201133322110120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234623865168000).

201133322110120 is an abundant number, since it is smaller than the sum of its proper divisors (268114408225880).

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

201133322110120 is a wasteful number, since it uses less digits than its factorization.

201133322110120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5111507 (or 5111503 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

Adding to 201133322110120 its reverse (21011223331102), we get a palindrome (222144545441222).

The spelling of 201133322110120 in words is "two hundred one trillion, one hundred thirty-three billion, three hundred twenty-two million, one hundred ten thousand, one hundred twenty".