2112112011111 has 16 divisors (see below), whose sum is σ = 2913299558400. Its totient is φ = 1359500956128.

The previous prime is 2112112011101. The next prime is 2112112011143. The reversal of 2112112011111 is 1111102112112.

It is not a de Polignac number, because 2112112011111 - 2³³ = 2103522076519 is a prime.

It is a super-2 number, since 2×2112112011111² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2112112011101) 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, 8342730 + ... + 8592168.

It is an arithmetic number, because the mean of its divisors is an integer number (182081222400).

Almost surely, 2^{2112112011111} is an apocalyptic number.

2112112011111 is a deficient number, since it is larger than the sum of its proper divisors (801187547289).

2112112011111 is a wasteful number, since it uses less digits than its factorization.

2112112011111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 346798.

The product of its (nonzero) digits is 8, while the sum is 15.

Adding to 2112112011111 its reverse (1111102112112), we get a palindrome (3223214123223).

The spelling of 2112112011111 in words is "two trillion, one hundred twelve billion, one hundred twelve million, eleven thousand, one hundred eleven".