22122100221001 has 8 divisors (see below), whose sum is σ = 24133249552608. Its totient is φ = 20110959108000.

The previous prime is 22122100220999. The next prime is 22122100221059. The reversal of 22122100221001 is 10012200122122.

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 22122100221001 - 2¹ = 22122100220999 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (22122100221071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4475986 + ... + 8017396.

It is an arithmetic number, because the mean of its divisors is an integer number (3016656194076).

Almost surely, 2^{22122100221001} is an apocalyptic number.

It is an amenable number.

22122100221001 is a deficient number, since it is larger than the sum of its proper divisors (2011149331607).

22122100221001 is a wasteful number, since it uses less digits than its factorization.

22122100221001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4109303.

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 22122100221001 its reverse (10012200122122), we get a palindrome (32134300343123).

The spelling of 22122100221001 in words is "twenty-two trillion, one hundred twenty-two billion, one hundred million, two hundred twenty-one thousand, one".