201100112110000 has 200 divisors, whose sum is σ = 490519049084064. Its totient is φ = 79839594240000.

The previous prime is 201100112109971. The next prime is 201100112110003. The reversal of 201100112110000 is 11211001102.

201100112110000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (200).

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 (201100112110003) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 14539803085 + ... + 14539816915.

Almost surely, 2^{201100112110000} is an apocalyptic number.

201100112110000 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 201100112110000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245259524542032).

201100112110000 is an abundant number, since it is smaller than the sum of its proper divisors (289418936974064).

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

201100112110000 is a wasteful number, since it uses less digits than its factorization.

201100112110000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24609 (or 24588 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 201100112110000 its reverse (11211001102), we get a palindrome (201111323111102).

The spelling of 201100112110000 in words is "two hundred one trillion, one hundred billion, one hundred twelve million, one hundred ten thousand".