20102211122117 has 2 divisors, whose sum is σ = 20102211122118. Its totient is φ = 20102211122116.

The previous prime is 20102211122107. The next prime is 20102211122171. The reversal of 20102211122117 is 71122111220102.

Together with next prime (20102211122171) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 16166784390436 + 3935426731681 = 4020794^2 + 1983791^2 .

It is a cyclic number.

It is not a de Polignac number, because 20102211122117 - 2¹⁰ = 20102211121093 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 20102211122092 and 20102211122101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (20102211122107) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10051105561058 + 10051105561059.

It is an arithmetic number, because the mean of its divisors is an integer number (10051105561059).

Almost surely, 2^{20102211122117} is an apocalyptic number.

It is an amenable number.

20102211122117 is a deficient number, since it is larger than the sum of its proper divisors (1).

20102211122117 is an equidigital number, since it uses as much as digits as its factorization.

20102211122117 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 224, while the sum is 23.

Adding to 20102211122117 its reverse (71122111220102), we get a palindrome (91224322342219).

The spelling of 20102211122117 in words is "twenty trillion, one hundred two billion, two hundred eleven million, one hundred twenty-two thousand, one hundred seventeen".