201122201120 has 48 divisors (see below), whose sum is σ = 475180147008. Its totient is φ = 80443979520.

The previous prime is 201122201069. The next prime is 201122201129. The reversal of 201122201120 is 21102221102.

201122201120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×201122201120³ (a number of 35 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 201122201095 and 201122201104.

It is not an unprimeable number, because it can be changed into a prime (201122201129) 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 7 ways as a sum of consecutive naturals, for example, 3786587 + ... + 3839333.

It is an arithmetic number, because the mean of its divisors is an integer number (9899586396).

Almost surely, 2^201122201120 is an apocalyptic number.

201122201120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201122201120 is an abundant number, since it is smaller than the sum of its proper divisors (274057945888).

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

201122201120 is a wasteful number, since it uses less digits than its factorization.

201122201120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76593 (or 76585 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 201122201120 its reverse (21102221102), we get a palindrome (222224422222).

The spelling of 201122201120 in words is "two hundred one billion, one hundred twenty-two million, two hundred one thousand, one hundred twenty".