22102420122 has 144 divisors (see below), whose sum is σ = 51499407960. Its totient is φ = 6842174976.

The previous prime is 22102420121. The next prime is 22102420127.

22102420122 is a `hidden beast` number, since 22 + 102 + 420 + 122 = 666.

22102420122 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 12 ways, for example, as 17095301001 + 5007119121 = 130749^2 + 70761^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 22102420095 and 22102420104.

It is not an unprimeable number, because it can be changed into a prime (22102420121) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 112194928 + ... + 112195124.

Almost surely, 2^22102420122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22102420122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25749703980).

22102420122 is an abundant number, since it is smaller than the sum of its proper divisors (29396987838).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

22102420122 is a wasteful number, since it uses less digits than its factorization.

22102420122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 465 (or 425 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The spelling of 22102420122 in words is "twenty-two billion, one hundred two million, four hundred twenty thousand, one hundred twenty-two".