12122101013011 has 16 divisors (see below), whose sum is σ = 13708448709120. Its totient is φ = 10622043514080.

The previous prime is 12122101012951. The next prime is 12122101013023. The reversal of 12122101013011 is 11031010122121.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 12122101013011 - 2¹¹ = 12122101010963 is a prime.

It is a super-2 number, since 2×12122101013011² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12122101053011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 139134171 + ... + 139221268.

It is an arithmetic number, because the mean of its divisors is an integer number (856778044320).

Almost surely, 2^{12122101013011} is an apocalyptic number.

12122101013011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

12122101013011 is a deficient number, since it is larger than the sum of its proper divisors (1586347696109).

12122101013011 is a wasteful number, since it uses less digits than its factorization.

12122101013011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278355594.

The product of its (nonzero) digits is 24, while the sum is 16.

Adding to 12122101013011 its reverse (11031010122121), we get a palindrome (23153111135132).

The spelling of 12122101013011 in words is "twelve trillion, one hundred twenty-two billion, one hundred one million, thirteen thousand, eleven".