10021222202081 has 2 divisors, whose sum is σ = 10021222202082. Its totient is φ = 10021222202080.

The previous prime is 10021222202077. The next prime is 10021222202111. The reversal of 10021222202081 is 18020222212001.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8893463160481 + 1127759041600 = 2982191^2 + 1061960^2 .

It is an emirp because it is prime and its reverse (18020222212001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10021222202081 - 2² = 10021222202077 is a prime.

It is a super-2 number, since 2×10021222202081² (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (10021222202281) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5010611101040 + 5010611101041.

It is an arithmetic number, because the mean of its divisors is an integer number (5010611101041).

Almost surely, 2^{10021222202081} is an apocalyptic number.

It is an amenable number.

10021222202081 is a deficient number, since it is larger than the sum of its proper divisors (1).

10021222202081 is an equidigital number, since it uses as much as digits as its factorization.

10021222202081 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 512, while the sum is 23.

Adding to 10021222202081 its reverse (18020222212001), we get a palindrome (28041444414082).

The spelling of 10021222202081 in words is "ten trillion, twenty-one billion, two hundred twenty-two million, two hundred two thousand, eighty-one".