22102112122211 has 32 divisors (see below), whose sum is σ = 26609109037056. Its totient is φ = 18123190272000.

The previous prime is 22102112122183. The next prime is 22102112122213. The reversal of 22102112122211 is 11222121120122.

It is not a de Polignac number, because 22102112122211 - 2⁶ = 22102112122147 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (22102112122213) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17911070 + ... + 19105251.

It is an arithmetic number, because the mean of its divisors is an integer number (831534657408).

Almost surely, 2^{22102112122211} is an apocalyptic number.

22102112122211 is a deficient number, since it is larger than the sum of its proper divisors (4506996914845).

22102112122211 is a wasteful number, since it uses less digits than its factorization.

22102112122211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37016483.

The product of its (nonzero) digits is 128, while the sum is 20.

Adding to 22102112122211 its reverse (11222121120122), we get a palindrome (33324233242333).

The spelling of 22102112122211 in words is "twenty-two trillion, one hundred two billion, one hundred twelve million, one hundred twenty-two thousand, two hundred eleven".