22022100001001 has 2 divisors, whose sum is σ = 22022100001002. Its totient is φ = 22022100001000.

The previous prime is 22022100000977. The next prime is 22022100001049. The reversal of 22022100001001 is 10010000122022.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 19875725568400 + 2146374432601 = 4458220^2 + 1465051^2 .

It is a cyclic number.

It is not a de Polignac number, because 22022100001001 - 2²⁶ = 22022032892137 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (22022100000001) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11011050000500 + 11011050000501.

It is an arithmetic number, because the mean of its divisors is an integer number (11011050000501).

Almost surely, 2^{22022100001001} is an apocalyptic number.

It is an amenable number.

22022100001001 is a deficient number, since it is larger than the sum of its proper divisors (1).

22022100001001 is an equidigital number, since it uses as much as digits as its factorization.

22022100001001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 22022100001001 its reverse (10010000122022), we get a palindrome (32032100123023).

The spelling of 22022100001001 in words is "twenty-two trillion, twenty-two billion, one hundred million, one thousand, one".