201110221211000 has 128 divisors (see below), whose sum is σ = 475719185410560. Its totient is φ = 79573253760000.

The previous prime is 201110221210999. The next prime is 201110221211059. The reversal of 201110221211000 is 112122011102.

It is a congruent number.

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, 32138900 + ... + 37883100.

It is an arithmetic number, because the mean of its divisors is an integer number (3716556136020).

Almost surely, 2^{201110221211000} is an apocalyptic number.

201110221211000 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 201110221211000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237859592705280).

201110221211000 is an abundant number, since it is smaller than the sum of its proper divisors (274608964199560).

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

201110221211000 is a wasteful number, since it uses less digits than its factorization.

201110221211000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5744602 (or 5744588 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 201110221211000 its reverse (112122011102), we get a palindrome (201222343222102).

The spelling of 201110221211000 in words is "two hundred one trillion, one hundred ten billion, two hundred twenty-one million, two hundred eleven thousand".