22001022102001 has 8 divisors (see below), whose sum is σ = 22604047414760. Its totient is φ = 21398439057408.

The previous prime is 22001022101999. The next prime is 22001022102029. The reversal of 22001022102001 is 10020122010022.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 4692426772401 + 17308595329600 = 2166201^2 + 4160360^2 .

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 22001022102001 - 2¹ = 22001022101999 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (22001022105001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 110466186 + ... + 110665171.

It is an arithmetic number, because the mean of its divisors is an integer number (2825505926845).

Almost surely, 2^{22001022102001} is an apocalyptic number.

It is an amenable number.

22001022102001 is a deficient number, since it is larger than the sum of its proper divisors (603025312759).

22001022102001 is a wasteful number, since it uses less digits than its factorization.

22001022102001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221134083.

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 22001022102001 its reverse (10020122010022), we get a palindrome (32021144112023).

The spelling of 22001022102001 in words is "twenty-two trillion, one billion, twenty-two million, one hundred two thousand, one".