12122122122101 has 32 divisors (see below), whose sum is σ = 12922750494720. Its totient is φ = 11338797960000.

The previous prime is 12122122122083. The next prime is 12122122122113. The reversal of 12122122122101 is 10122122122121.

12122122122101 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 12122122122101 - 2¹⁸ = 12122121859957 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12122122122191) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 594007640 + ... + 594028046.

It is an arithmetic number, because the mean of its divisors is an integer number (403835952960).

Almost surely, 2^{12122122122101} is an apocalyptic number.

It is an amenable number.

12122122122101 is a deficient number, since it is larger than the sum of its proper divisors (800628372619).

12122122122101 is a wasteful number, since it uses less digits than its factorization.

12122122122101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21825.

The product of its (nonzero) digits is 128, while the sum is 20.

Adding to 12122122122101 its sum of digits (20), we get a palindrome (12122122122121).

Adding to 12122122122101 its reverse (10122122122121), we get a palindrome (22244244244222).

The spelling of 12122122122101 in words is "twelve trillion, one hundred twenty-two billion, one hundred twenty-two million, one hundred twenty-two thousand, one hundred one".