12122120122101 has 24 divisors (see below), whose sum is σ = 19717700770560. Its totient is φ = 7109747870400.

The previous prime is 12122120121961. The next prime is 12122120122207. The reversal of 12122120122101 is 10122102122121.

12122120122101 is a `hidden beast` number, since 1 + 21 + 221 + 201 + 221 + 0 + 1 = 666.

It is not a de Polignac number, because 12122120122101 - 2²⁹ = 12121583251189 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12122120122601) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1974926896 + ... + 1974933033.

It is an arithmetic number, because the mean of its divisors is an integer number (821570865440).

Almost surely, 2^{12122120122101} is an apocalyptic number.

12122120122101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12122120122101 is a deficient number, since it is larger than the sum of its proper divisors (7595580648459).

12122120122101 is a wasteful number, since it uses less digits than its factorization.

12122120122101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3949859977 (or 3949859974 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 12122120122101 its reverse (10122102122121), we get a palindrome (22244222244222).

It can be divided in two parts, 12122120 and 122101, that added together give a palindrome (12244221).

The spelling of 12122120122101 in words is "twelve trillion, one hundred twenty-two billion, one hundred twenty million, one hundred twenty-two thousand, one hundred one".