201111022000 has 160 divisors (see below), whose sum is σ = 564869096064. Its totient is φ = 67821696000.

The previous prime is 201111021997. The next prime is 201111022001. The reversal of 201111022000 is 220111102.

201111022000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (201111022001) 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 31 ways as a sum of consecutive naturals, for example, 736254 + ... + 971746.

Almost surely, 2^201111022000 is an apocalyptic number.

201111022000 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 201111022000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282434548032).

201111022000 is an abundant number, since it is smaller than the sum of its proper divisors (363758074064).

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

201111022000 is a wasteful number, since it uses less digits than its factorization.

201111022000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235584 (or 235568 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 201111022000 its reverse (220111102), we get a palindrome (201331133102).

The spelling of 201111022000 in words is "two hundred one billion, one hundred eleven million, twenty-two thousand".