1022314450081 has 2 divisors, whose sum is σ = 1022314450082. Its totient is φ = 1022314450080.

The previous prime is 1022314450067. The next prime is 1022314450153. The reversal of 1022314450081 is 1800544132201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 673317072481 + 348997377600 = 820559^2 + 590760^2 .

It is a cyclic number.

It is not a de Polignac number, because 1022314450081 - 2⁵ = 1022314450049 is a prime.

It is a super-2 number, since 2×1022314450081² (a number of 25 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (1022314450481) 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, 511157225040 + 511157225041.

It is an arithmetic number, because the mean of its divisors is an integer number (511157225041).

Almost surely, 2^{1022314450081} is an apocalyptic number.

It is an amenable number.

1022314450081 is a deficient number, since it is larger than the sum of its proper divisors (1).

1022314450081 is an equidigital number, since it uses as much as digits as its factorization.

1022314450081 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7680, while the sum is 31.

Adding to 1022314450081 its reverse (1800544132201), we get a palindrome (2822858582282).

The spelling of 1022314450081 in words is "one trillion, twenty-two billion, three hundred fourteen million, four hundred fifty thousand, eighty-one".