22005004014101 has 8 divisors (see below), whose sum is σ = 22188231169920. Its totient is φ = 21822446793888.

The previous prime is 22005004014073. The next prime is 22005004014121. The reversal of 22005004014101 is 10141040050022.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 22005004014101 - 2¹⁸ = 22005003751957 is a prime.

It is a super-2 number, since 2×22005004014101² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22005004014121) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 167417936 + ... + 167549321.

It is an arithmetic number, because the mean of its divisors is an integer number (2773528896240).

Almost surely, 2^{22005004014101} is an apocalyptic number.

It is an amenable number.

22005004014101 is a deficient number, since it is larger than the sum of its proper divisors (183227155819).

22005004014101 is a wasteful number, since it uses less digits than its factorization.

22005004014101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334967803.

The product of its (nonzero) digits is 320, while the sum is 20.

Adding to 22005004014101 its reverse (10141040050022), we get a palindrome (32146044064123).

The spelling of 22005004014101 in words is "twenty-two trillion, five billion, four million, fourteen thousand, one hundred one".