12112201101 has 96 divisors (see below), whose sum is σ = 21882700800. Its totient is φ = 5786726400.

The previous prime is 12112201093. The next prime is 12112201147. The reversal of 12112201101 is 10110221121.

12112201101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12112201101 - 2³ = 12112201093 is a prime.

It is a super-2 number, since 2×12112201101² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12112201901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 17528166 + ... + 17528856.

It is an arithmetic number, because the mean of its divisors is an integer number (227944800).

Almost surely, 2^12112201101 is an apocalyptic number.

12112201101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12112201101 is a deficient number, since it is larger than the sum of its proper divisors (9770499699).

12112201101 is a wasteful number, since it uses less digits than its factorization.

12112201101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1187 (or 1174 counting only the distinct ones).

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

Adding to 12112201101 its reverse (10110221121), we get a palindrome (22222422222).

The spelling of 12112201101 in words is "twelve billion, one hundred twelve million, two hundred one thousand, one hundred one".