201110212021100 has 72 divisors (see below), whose sum is σ = 445806853201920. Its totient is φ = 78712654374720.

The previous prime is 201110212021079. The next prime is 201110212021153. The reversal of 201110212021100 is 1120212011102.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13251731 + ... + 24038069.

Almost surely, 2^{201110212021100} is an apocalyptic number.

201110212021100 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 201110212021100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222903426600960).

201110212021100 is an abundant number, since it is smaller than the sum of its proper divisors (244696641180820).

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

201110212021100 is a wasteful number, since it uses less digits than its factorization.

201110212021100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10790367 (or 10790360 counting only the distinct ones).

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

Adding to 201110212021100 its reverse (1120212011102), we get a palindrome (202230424032202).

The spelling of 201110212021100 in words is "two hundred one trillion, one hundred ten billion, two hundred twelve million, twenty-one thousand, one hundred".