10222021222081 has 2 divisors, whose sum is σ = 10222021222082. Its totient is φ = 10222021222080.

The previous prime is 10222021222079. The next prime is 10222021222111. The reversal of 10222021222081 is 18022212022201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 10102385480625 + 119635741456 = 3178425^2 + 345884^2 .

It is a cyclic number.

It is not a de Polignac number, because 10222021222081 - 2¹ = 10222021222079 is a prime.

It is a super-2 number, since 2×10222021222081² (a number of 27 digits) contains 22 as substring.

Together with 10222021222079, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (10222021222481) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5111010611040 + 5111010611041.

It is an arithmetic number, because the mean of its divisors is an integer number (5111010611041).

Almost surely, 2^{10222021222081} is an apocalyptic number.

It is an amenable number.

10222021222081 is a deficient number, since it is larger than the sum of its proper divisors (1).

10222021222081 is an equidigital number, since it uses as much as digits as its factorization.

10222021222081 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1024, while the sum is 25.

Adding to 10222021222081 its reverse (18022212022201), we get a palindrome (28244233244282).

The spelling of 10222021222081 in words is "ten trillion, two hundred twenty-two billion, twenty-one million, two hundred twenty-two thousand, eighty-one".