12122122111101 has 12 divisors (see below), whose sum is σ = 17683095622140. Its totient is φ = 8001400732800.

The previous prime is 12122122111037. The next prime is 12122122111133. The reversal of 12122122111101 is 10111122122121.

It is a happy number.

12122122111101 is a `hidden beast` number, since 121 + 221 + 2 + 211 + 110 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 4893390834201 + 7228731276900 = 2212101^2 + 2688630^2 .

It is not a de Polignac number, because 12122122111101 - 2⁶ = 12122122111037 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12122122151101) 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, 6667833036 + ... + 6667834853.

It is an arithmetic number, because the mean of its divisors is an integer number (1473591301845).

Almost surely, 2^{12122122111101} is an apocalyptic number.

It is an amenable number.

12122122111101 is a deficient number, since it is larger than the sum of its proper divisors (5560973511039).

12122122111101 is a wasteful number, since it uses less digits than its factorization.

12122122111101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13335667996 (or 13335667993 counting only the distinct ones).

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

Adding to 12122122111101 its reverse (10111122122121), we get a palindrome (22233244233222).

The spelling of 12122122111101 in words is "twelve trillion, one hundred twenty-two billion, one hundred twenty-two million, one hundred eleven thousand, one hundred one".