201112011200100 has 1152 divisors, whose sum is σ = 787306641149952. Its totient is φ = 38277975859200.

The previous prime is 201112011200017. The next prime is 201112011200123. The reversal of 201112011200100 is 1002110211102.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 23486158419 + ... + 23486166981.

It is an arithmetic number, because the mean of its divisors is an integer number (683425903776).

Almost surely, 2^{201112011200100} is an apocalyptic number.

201112011200100 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 201112011200100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (393653320574976).

201112011200100 is an abundant number, since it is smaller than the sum of its proper divisors (586194629949852).

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

201112011200100 is a wasteful number, since it uses less digits than its factorization.

201112011200100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9205 (or 9198 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 201112011200100 its reverse (1002110211102), we get a palindrome (202114121411202).

The spelling of 201112011200100 in words is "two hundred one trillion, one hundred twelve billion, eleven million, two hundred thousand, one hundred".