12112211102121 has 12 divisors (see below), whose sum is σ = 18841217270148. Its totient is φ = 7453668370464.

The previous prime is 12112211102111. The next prime is 12112211102137. The reversal of 12112211102121 is 12120111221121.

It is a happy number.

12112211102121 is a `hidden beast` number, since 1 + 211 + 221 + 110 + 2 + 121 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 4864512558096 + 7247698544025 = 2205564^2 + 2692155^2 .

It is not a de Polignac number, because 12112211102121 - 2¹³ = 12112211093929 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12112211102094 and 12112211102103.

It is not an unprimeable number, because it can be changed into a prime (12112211102111) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 51761585790 + ... + 51761586023.

It is an arithmetic number, because the mean of its divisors is an integer number (1570101439179).

Almost surely, 2^{12112211102121} is an apocalyptic number.

It is an amenable number.

12112211102121 is a deficient number, since it is larger than the sum of its proper divisors (6729006168027).

12112211102121 is a wasteful number, since it uses less digits than its factorization.

12112211102121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103523171832 (or 103523171829 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 12112211102121 its reverse (12120111221121), we get a palindrome (24232322323242).

The spelling of 12112211102121 in words is "twelve trillion, one hundred twelve billion, two hundred eleven million, one hundred two thousand, one hundred twenty-one".