10222112121101 has 2 divisors, whose sum is σ = 10222112121102. Its totient is φ = 10222112121100.

The previous prime is 10222112121077. The next prime is 10222112121227. The reversal of 10222112121101 is 10112121122201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 5311300999876 + 4910811121225 = 2304626^2 + 2216035^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10222112121101 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10222112121101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10222112121601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5111056060550 + 5111056060551.

It is an arithmetic number, because the mean of its divisors is an integer number (5111056060551).

Almost surely, 2^{10222112121101} is an apocalyptic number.

It is an amenable number.

10222112121101 is a deficient number, since it is larger than the sum of its proper divisors (1).

10222112121101 is an equidigital number, since it uses as much as digits as its factorization.

10222112121101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 10222112121101 its reverse (10112121122201), we get a palindrome (20334233243302).

The spelling of 10222112121101 in words is "ten trillion, two hundred twenty-two billion, one hundred twelve million, one hundred twenty-one thousand, one hundred one".