201111322120 has 32 divisors (see below), whose sum is σ = 459918520920. Its totient is φ = 79125765120.

The previous prime is 201111322117. The next prime is 201111322123. The reversal of 201111322120 is 21223111102.

201111322120 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 (201111322117) and next prime (201111322123).

It can be written as a sum of positive squares in 4 ways, for example, as 50146436356 + 150964885764 = 223934^2 + 388542^2 .

It is a junction number, because it is equal to n+sod(n) for n = 201111322094 and 201111322103.

It is not an unprimeable number, because it can be changed into a prime (201111322123) 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, 41208897 + ... + 41213776.

Almost surely, 2^201111322120 is an apocalyptic number.

201111322120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201111322120 is an abundant number, since it is smaller than the sum of its proper divisors (258807198800).

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

201111322120 is a wasteful number, since it uses less digits than its factorization.

201111322120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82422745 (or 82422741 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 201111322120 its reverse (21223111102), we get a palindrome (222334433222).

The spelling of 201111322120 in words is "two hundred one billion, one hundred eleven million, three hundred twenty-two thousand, one hundred twenty".