12122120101101 has 32 divisors (see below), whose sum is σ = 16493237710848. Its totient is φ = 7917788854080.

The previous prime is 12122120100991. The next prime is 12122120101103. The reversal of 12122120101101 is 10110102122121.

It is a happy number.

It is not a de Polignac number, because 12122120101101 - 2⁷ = 12122120100973 is a prime.

It is a super-2 number, since 2×12122120101101² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12122120101103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21848415 + ... + 22396371.

It is an arithmetic number, because the mean of its divisors is an integer number (515413678464).

Almost surely, 2^{12122120101101} is an apocalyptic number.

It is an amenable number.

12122120101101 is a deficient number, since it is larger than the sum of its proper divisors (4371117609747).

12122120101101 is a wasteful number, since it uses less digits than its factorization.

12122120101101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 548681.

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 12122120101101 its reverse (10110102122121), we get a palindrome (22232222223222).

The spelling of 12122120101101 in words is "twelve trillion, one hundred twenty-two billion, one hundred twenty million, one hundred one thousand, one hundred one".