201122111000 has 96 divisors (see below), whose sum is σ = 475991830080. Its totient is φ = 79541792000.

The previous prime is 201122110967. The next prime is 201122111011. The reversal of 201122111000 is 111221102.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7908305 + ... + 7933695.

It is an arithmetic number, because the mean of its divisors is an integer number (4958248230).

Almost surely, 2^201122111000 is an apocalyptic number.

201122111000 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 201122111000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237995915040).

201122111000 is an abundant number, since it is smaller than the sum of its proper divisors (274869719080).

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

201122111000 is an equidigital number, since it uses as much as digits as its factorization.

201122111000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25590 (or 25487 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 201122111000 its reverse (111221102), we get a palindrome (201233332102).

The spelling of 201122111000 in words is "two hundred one billion, one hundred twenty-two million, one hundred eleven thousand".