22100020100117 has 2 divisors, whose sum is σ = 22100020100118. Its totient is φ = 22100020100116.

The previous prime is 22100020100087. The next prime is 22100020100143. The reversal of 22100020100117 is 71100102000122.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 19959083418481 + 2140936681636 = 4467559^2 + 1463194^2 .

It is a cyclic number.

It is not a de Polignac number, because 22100020100117 - 2¹⁴ = 22100020083733 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 22100020100095 and 22100020100104.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (22100020120117) 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 as a sum of consecutive naturals, namely, 11050010050058 + 11050010050059.

It is an arithmetic number, because the mean of its divisors is an integer number (11050010050059).

Almost surely, 2^{22100020100117} is an apocalyptic number.

It is an amenable number.

22100020100117 is a deficient number, since it is larger than the sum of its proper divisors (1).

22100020100117 is an equidigital number, since it uses as much as digits as its factorization.

22100020100117 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 56, while the sum is 17.

Adding to 22100020100117 its reverse (71100102000122), we get a palindrome (93200122100239).

The spelling of 22100020100117 in words is "twenty-two trillion, one hundred billion, twenty million, one hundred thousand, one hundred seventeen".