2121110212111 has 16 divisors (see below), whose sum is σ = 2363697381888. Its totient is φ = 1886834476800.

The previous prime is 2121110212063. The next prime is 2121110212213. The reversal of 2121110212111 is 1112120111212.

It is not a de Polignac number, because 2121110212111 - 2¹⁷ = 2121110081039 is a prime.

It is a super-3 number, since 3×2121110212111³ (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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (2121110210111) 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, 1878676 + ... + 2787766.

It is an arithmetic number, because the mean of its divisors is an integer number (147731086368).

Almost surely, 2^{2121110212111} is an apocalyptic number.

2121110212111 is a deficient number, since it is larger than the sum of its proper divisors (242587169777).

2121110212111 is a wasteful number, since it uses less digits than its factorization.

2121110212111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 913662.

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

Adding to 2121110212111 its reverse (1112120111212), we get a palindrome (3233230323323).

The spelling of 2121110212111 in words is "two trillion, one hundred twenty-one billion, one hundred ten million, two hundred twelve thousand, one hundred eleven".