2112121121111 has 4 divisors (see below), whose sum is σ = 2112150492000. Its totient is φ = 2112091750224.

The previous prime is 2112121121069. The next prime is 2112121121129. The reversal of 2112121121111 is 1111211212112.

It is a semiprime because it is the product of two primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2112121121111 is a prime.

It is a super-3 number, since 3×2112121121111³ (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 2112121121111.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2112121121191) 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 3 ways as a sum of consecutive naturals, for example, 14577311 + ... + 14721488.

It is an arithmetic number, because the mean of its divisors is an integer number (528037623000).

Almost surely, 2^{2112121121111} is an apocalyptic number.

2112121121111 is a deficient number, since it is larger than the sum of its proper divisors (29370889).

2112121121111 is an equidigital number, since it uses as much as digits as its factorization.

2112121121111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29370888.

The product of its digits is 16, while the sum is 17.

Adding to 2112121121111 its reverse (1111211212112), we get a palindrome (3223332333223).

It can be divided in two parts, 211212112 and 1111, that multiplied together give a palindrome (234656656432).

The spelling of 2112121121111 in words is "two trillion, one hundred twelve billion, one hundred twenty-one million, one hundred twenty-one thousand, one hundred eleven".