2212105600011 has 32 divisors (see below), whose sum is σ = 2995158712320. Its totient is φ = 1452003789600.

The previous prime is 2212105600009. The next prime is 2212105600039. The reversal of 2212105600011 is 1100065012122.

It is not a de Polignac number, because 2212105600011 - 2¹ = 2212105600009 is a prime.

It is a super-2 number, since 2×2212105600011² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2212105650011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 171169396 + ... + 171182318.

It is an arithmetic number, because the mean of its divisors is an integer number (93598709760).

Almost surely, 2^{2212105600011} is an apocalyptic number.

2212105600011 is a deficient number, since it is larger than the sum of its proper divisors (783053112309).

2212105600011 is a wasteful number, since it uses less digits than its factorization.

2212105600011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14967.

The product of its (nonzero) digits is 240, while the sum is 21.

The spelling of 2212105600011 in words is "two trillion, two hundred twelve billion, one hundred five million, six hundred thousand, eleven".