201110112100 has 36 divisors (see below), whose sum is σ = 440412718900. Its totient is φ = 79706021760.

The previous prime is 201110112089. The next prime is 201110112107. The reversal of 201110112100 is 1211011102.

201110112100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 16533330724 + 184576781376 = 128582^2 + 429624^2 .

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 (201110112107) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 9214335 + ... + 9236134.

Almost surely, 2^201110112100 is an apocalyptic number.

201110112100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201110112100 is an abundant number, since it is smaller than the sum of its proper divisors (239302606800).

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

201110112100 is a wasteful number, since it uses less digits than its factorization.

201110112100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18450592 (or 18450585 counting only the distinct ones).

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

Adding to 201110112100 its reverse (1211011102), we get a palindrome (202321123202).

The spelling of 201110112100 in words is "two hundred one billion, one hundred ten million, one hundred twelve thousand, one hundred".