22100221100105 has 64 divisors (see below), whose sum is σ = 27782476001280. Its totient is φ = 16860131602944.

The previous prime is 22100221100093. The next prime is 22100221100119. The reversal of 22100221100105 is 50100112200122.

It is a cyclic number.

It is not a de Polignac number, because 22100221100105 - 2²² = 22100216905801 is a prime.

It is a super-2 number, since 2×22100221100105² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10902920102 + ... + 10902922128.

It is an arithmetic number, because the mean of its divisors is an integer number (434101187520).

Almost surely, 2^{22100221100105} is an apocalyptic number.

It is an amenable number.

22100221100105 is a deficient number, since it is larger than the sum of its proper divisors (5682254901175).

22100221100105 is a wasteful number, since it uses less digits than its factorization.

22100221100105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4238.

The product of its (nonzero) digits is 80, while the sum is 17.

Adding to 22100221100105 its reverse (50100112200122), we get a palindrome (72200333300227).

The spelling of 22100221100105 in words is "twenty-two trillion, one hundred billion, two hundred twenty-one million, one hundred thousand, one hundred five".