2122211011211 has 8 divisors (see below), whose sum is σ = 2128178741760. Its totient is φ = 2116245503872.

The previous prime is 2122211011177. The next prime is 2122211011213. The reversal of 2122211011211 is 1121101122212.

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2122211011211 is a prime.

It is a super-5 number, since 5×2122211011211⁵ (a number of 63 digits) contains 55555 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 2122211011211.

It is not an unprimeable number, because it can be changed into a prime (2122211011213) 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, 1365341 + ... + 2471553.

It is an arithmetic number, because the mean of its divisors is an integer number (266022342720).

Almost surely, 2^{2122211011211} is an apocalyptic number.

2122211011211 is a deficient number, since it is larger than the sum of its proper divisors (5967730549).

2122211011211 is a wasteful number, since it uses less digits than its factorization.

2122211011211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1111605.

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 2122211011211 its reverse (1121101122212), we get a palindrome (3243312133423).

The spelling of 2122211011211 in words is "two trillion, one hundred twenty-two billion, two hundred eleven million, eleven thousand, two hundred eleven".