12101102211121 has 16 divisors (see below), whose sum is σ = 15088156581888. Its totient is φ = 9428762725200.

The previous prime is 12101102211119. The next prime is 12101102211157. The reversal of 12101102211121 is 12111220110121.

It is not a de Polignac number, because 12101102211121 - 2¹ = 12101102211119 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12101102211095 and 12101102211104.

It is not an unprimeable number, because it can be changed into a prime (12101102211101) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4466995 + ... + 6645016.

It is an arithmetic number, because the mean of its divisors is an integer number (943009786368).

Almost surely, 2^{12101102211121} is an apocalyptic number.

12101102211121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12101102211121 is a deficient number, since it is larger than the sum of its proper divisors (2987054370767).

12101102211121 is a wasteful number, since it uses less digits than its factorization.

12101102211121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11126172.

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

Adding to 12101102211121 its reverse (12111220110121), we get a palindrome (24212322321242).

The spelling of 12101102211121 in words is "twelve trillion, one hundred one billion, one hundred two million, two hundred eleven thousand, one hundred twenty-one".