22022100002117 has 2 divisors, whose sum is σ = 22022100002118. Its totient is φ = 22022100002116.

The previous prime is 22022100002069. The next prime is 22022100002153. The reversal of 22022100002117 is 71120000122022.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 20087911658116 + 1934188344001 = 4481954^2 + 1390751^2 .

It is a cyclic number.

It is not a de Polignac number, because 22022100002117 - 2¹⁰ = 22022100001093 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (22022100002167) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11011050001058 + 11011050001059.

It is an arithmetic number, because the mean of its divisors is an integer number (11011050001059).

Almost surely, 2^{22022100002117} is an apocalyptic number.

It is an amenable number.

22022100002117 is a deficient number, since it is larger than the sum of its proper divisors (1).

22022100002117 is an equidigital number, since it uses as much as digits as its factorization.

22022100002117 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 224, while the sum is 20.

Adding to 22022100002117 its reverse (71120000122022), we get a palindrome (93142100124139).

The spelling of 22022100002117 in words is "twenty-two trillion, twenty-two billion, one hundred million, two thousand, one hundred seventeen".