22102122120122 has 12 divisors (see below), whose sum is σ = 36441102173658. Its totient is φ = 10046419145400.

The previous prime is 22102122120121. The next prime is 22102122120137.

22102122120122 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in only one way, i.e., 13062232017241 + 9039890102881 = 3614171^2 + 3006641^2 .

It is a junction number, because it is equal to n+sod(n) for n = 22102122120094 and 22102122120103.

It is not an unprimeable number, because it can be changed into a prime (22102122120121) 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 5 ways as a sum of consecutive naturals, for example, 45665541329 + ... + 45665541812.

Almost surely, 2^{22102122120122} is an apocalyptic number.

22102122120122 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

22102122120122 is a deficient number, since it is larger than the sum of its proper divisors (14338980053536).

22102122120122 is a wasteful number, since it uses less digits than its factorization.

22102122120122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91331083165 (or 91331083154 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

It can be divided in two parts, 2210212 and 2120122, that added together give a palindrome (4330334).

The spelling of 22102122120122 in words is "twenty-two trillion, one hundred two billion, one hundred twenty-two million, one hundred twenty thousand, one hundred twenty-two".