12122012122101 has 96 divisors (see below), whose sum is σ = 20484149836800. Its totient is φ = 6765092006400.

The previous prime is 12122012122097. The next prime is 12122012122109. The reversal of 12122012122101 is 10122121022121.

12122012122101 is a `hidden beast` number, since 1 + 21 + 220 + 1 + 212 + 210 + 1 = 666.

It is not a de Polignac number, because 12122012122101 - 2² = 12122012122097 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12122012122109) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 561479415 + ... + 561501003.

It is an arithmetic number, because the mean of its divisors is an integer number (213376560800).

Almost surely, 2^{12122012122101} is an apocalyptic number.

It is an amenable number.

12122012122101 is a deficient number, since it is larger than the sum of its proper divisors (8362137714699).

12122012122101 is a wasteful number, since it uses less digits than its factorization.

12122012122101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22899 (or 22896 counting only the distinct ones).

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

Adding to 12122012122101 its reverse (10122121022121), we get a palindrome (22244133144222).

The spelling of 12122012122101 in words is "twelve trillion, one hundred twenty-two billion, twelve million, one hundred twenty-two thousand, one hundred one".