22011122210401 has 2 divisors, whose sum is σ = 22011122210402. Its totient is φ = 22011122210400.

The previous prime is 22011122210381. The next prime is 22011122210501. The reversal of 22011122210401 is 10401222111022.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 21721183038801 + 289939171600 = 4660599^2 + 538460^2 .

It is a cyclic number.

It is not a de Polignac number, because 22011122210401 - 2²³ = 22011113821793 is a prime.

It is a super-3 number, since 3×22011122210401³ (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not a weakly prime, because it can be changed into another prime (22011122210501) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11005561105200 + 11005561105201.

It is an arithmetic number, because the mean of its divisors is an integer number (11005561105201).

Almost surely, 2^{22011122210401} is an apocalyptic number.

It is an amenable number.

22011122210401 is a deficient number, since it is larger than the sum of its proper divisors (1).

22011122210401 is an equidigital number, since it uses as much as digits as its factorization.

22011122210401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 128, while the sum is 19.

Adding to 22011122210401 its reverse (10401222111022), we get a palindrome (32412344321423).

The spelling of 22011122210401 in words is "twenty-two trillion, eleven billion, one hundred twenty-two million, two hundred ten thousand, four hundred one".