201110112100100 has 144 divisors (see below), whose sum is σ = 504399553862400. Its totient is φ = 68171550289920.

The previous prime is 201110112100049. The next prime is 201110112100187. The reversal of 201110112100100 is 1001211011102.

201110112100100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 774446081 + ... + 774705719.

It is an arithmetic number, because the mean of its divisors is an integer number (3502774679600).

Almost surely, 2^{201110112100100} is an apocalyptic number.

201110112100100 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 201110112100100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252199776931200).

201110112100100 is an abundant number, since it is smaller than the sum of its proper divisors (303289441762300).

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

201110112100100 is a wasteful number, since it uses less digits than its factorization.

201110112100100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272182 (or 272175 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 201110112100100 its reverse (1001211011102), we get a palindrome (202111323111202).

The spelling of 201110112100100 in words is "two hundred one trillion, one hundred ten billion, one hundred twelve million, one hundred thousand, one hundred".