2112122102011 has 16 divisors (see below), whose sum is σ = 2148489953280. Its totient is φ = 2076114680640.

The previous prime is 2112122101909. The next prime is 2112122102017. The reversal of 2112122102011 is 1102012212112.

It is a cyclic number.

It is not a de Polignac number, because 2112122102011 - 2¹¹ = 2112122099963 is a prime.

It is a super-2 number, since 2×2112122102011² (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 (2112122102017) 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, 10162150 + ... + 10367908.

It is an arithmetic number, because the mean of its divisors is an integer number (134280622080).

Almost surely, 2^{2112122102011} is an apocalyptic number.

2112122102011 is a deficient number, since it is larger than the sum of its proper divisors (36367851269).

2112122102011 is a wasteful number, since it uses less digits than its factorization.

2112122102011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206634.

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 2112122102011 its reverse (1102012212112), we get a palindrome (3214134314123).

The spelling of 2112122102011 in words is "two trillion, one hundred twelve billion, one hundred twenty-two million, one hundred two thousand, eleven".