2122011012211 has 16 divisors (see below), whose sum is σ = 2229315475968. Its totient is φ = 2015964720000.

The previous prime is 2122011012197. The next prime is 2122011012221. The reversal of 2122011012211 is 1122101102212.

It is not a de Polignac number, because 2122011012211 - 2²⁵ = 2121977457779 is a prime.

It is a super-2 number, since 2×2122011012211² (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 (2122011012221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21681736 + ... + 21779386.

It is an arithmetic number, because the mean of its divisors is an integer number (139332217248).

Almost surely, 2^{2122011012211} is an apocalyptic number.

2122011012211 is a deficient number, since it is larger than the sum of its proper divisors (107304463757).

2122011012211 is a wasteful number, since it uses less digits than its factorization.

2122011012211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104082.

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

Adding to 2122011012211 its reverse (1122101102212), we get a palindrome (3244112114423).

Subtracting from 2122011012211 its reverse (1122101102212), we obtain a palindrome (999909909999).

The spelling of 2122011012211 in words is "two trillion, one hundred twenty-two billion, eleven million, twelve thousand, two hundred eleven".