22100117 has 24 divisors (see below), whose sum is σ = 25857720. Its totient is φ = 18748800.

The previous prime is 22100081. The next prime is 22100129. The reversal of 22100117 is 71100122.

It can be written as a sum of positive squares in 4 ways, for example, as 188356 + 21911761 = 434^2 + 4681^2 .

It is not a de Polignac number, because 22100117 - 2¹² = 22096021 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22100147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 362267 + ... + 362327.

It is an arithmetic number, because the mean of its divisors is an integer number (1077405).

Almost surely, 2^22100117 is an apocalyptic number.

It is an amenable number.

22100117 is a deficient number, since it is larger than the sum of its proper divisors (3757603).

22100117 is a wasteful number, since it uses less digits than its factorization.

22100117 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 28, while the sum is 14.

The square root of 22100117 is about 4701.0761533930. The cubic root of 22100117 is about 280.6283380638.

Adding to 22100117 its reverse (71100122), we get a palindrome (93200239).

The spelling of 22100117 in words is "twenty-two million, one hundred thousand, one hundred seventeen".