10101122012221 has 2 divisors, whose sum is σ = 10101122012222. Its totient is φ = 10101122012220.

The previous prime is 10101122012203. The next prime is 10101122012227. The reversal of 10101122012221 is 12221022110101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7486319820996 + 2614802191225 = 2736114^2 + 1617035^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10101122012221 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10101122012195 and 10101122012204.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10101122012227) 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, 5050561006110 + 5050561006111.

It is an arithmetic number, because the mean of its divisors is an integer number (5050561006111).

Almost surely, 2^{10101122012221} is an apocalyptic number.

It is an amenable number.

10101122012221 is a deficient number, since it is larger than the sum of its proper divisors (1).

10101122012221 is an equidigital number, since it uses as much as digits as its factorization.

10101122012221 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 16.

Adding to 10101122012221 its reverse (12221022110101), we get a palindrome (22322144122322).

The spelling of 10101122012221 in words is "ten trillion, one hundred one billion, one hundred twenty-two million, twelve thousand, two hundred twenty-one".