201101112000000 has 420 divisors, whose sum is σ = 725480255296368. Its totient is φ = 53626944000000.

The previous prime is 201101111999981. The next prime is 201101112000091. The reversal of 201101112000000 is 211101102.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

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 41 ways as a sum of consecutive naturals, for example, 70603465 + ... + 73396535.

Almost surely, 2^{201101112000000} is an apocalyptic number.

201101112000000 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 201101112000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (362740127648184).

201101112000000 is an abundant number, since it is smaller than the sum of its proper divisors (524379143296368).

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

201101112000000 is an frugal number, since it uses more digits than its factorization.

201101112000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2793125 (or 2793081 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 201101112000000 its reverse (211101102), we get a palindrome (201101323101102).

The spelling of 201101112000000 in words is "two hundred one trillion, one hundred one billion, one hundred twelve million", and thus it is an aban number.