10222112101109 has 2 divisors, whose sum is σ = 10222112101110. Its totient is φ = 10222112101108.

The previous prime is 10222112101037. The next prime is 10222112101129. The reversal of 10222112101109 is 90110121122201.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10146072384100 + 76039717009 = 3185290^2 + 275753^2 .

It is a cyclic number.

It is not a de Polignac number, because 10222112101109 - 2³² = 10217817133813 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10222112101129) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5111056050554 + 5111056050555.

It is an arithmetic number, because the mean of its divisors is an integer number (5111056050555).

Almost surely, 2^{10222112101109} is an apocalyptic number.

It is an amenable number.

10222112101109 is a deficient number, since it is larger than the sum of its proper divisors (1).

10222112101109 is an equidigital number, since it uses as much as digits as its factorization.

10222112101109 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 144, while the sum is 23.

The spelling of 10222112101109 in words is "ten trillion, two hundred twenty-two billion, one hundred twelve million, one hundred one thousand, one hundred nine".