22122120112001 has 16 divisors (see below), whose sum is σ = 27688703145600. Its totient is φ = 17206551232128.

The previous prime is 22122120111977. The next prime is 22122120112051. The reversal of 22122120112001 is 10021102122122.

It is a cyclic number.

It is not a de Polignac number, because 22122120112001 - 2²⁶ = 22122053003137 is a prime.

It is not an unprimeable number, because it can be changed into a prime (22122120112051) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2060165996 + ... + 2060176733.

It is an arithmetic number, because the mean of its divisors is an integer number (1730543946600).

Almost surely, 2^{22122120112001} is an apocalyptic number.

It is an amenable number.

22122120112001 is a deficient number, since it is larger than the sum of its proper divisors (5566583033599).

22122120112001 is a wasteful number, since it uses less digits than its factorization.

22122120112001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4120342808.

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 22122120112001 its reverse (10021102122122), we get a palindrome (32143222234123).

The spelling of 22122120112001 in words is "twenty-two trillion, one hundred twenty-two billion, one hundred twenty million, one hundred twelve thousand, one".