2112112211011 has 8 divisors (see below), whose sum is σ = 2304133198848. Its totient is φ = 1920093021000.

The previous prime is 2112112210991. The next prime is 2112112211021. The reversal of 2112112211011 is 1101122112112.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 2112112211011 - 2²¹ = 2112110113859 is a prime.

It is a super-2 number, since 2×2112112211011² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2112112211021) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3569466 + ... + 4118896.

It is an arithmetic number, because the mean of its divisors is an integer number (288016649856).

Almost surely, 2^{2112112211011} is an apocalyptic number.

2112112211011 is a deficient number, since it is larger than the sum of its proper divisors (192020987837).

2112112211011 is a wasteful number, since it uses less digits than its factorization.

2112112211011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 898913.

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

Adding to 2112112211011 its reverse (1101122112112), we get a palindrome (3213234323123).

The spelling of 2112112211011 in words is "two trillion, one hundred twelve billion, one hundred twelve million, two hundred eleven thousand, eleven".