1020412322081 has 2 divisors, whose sum is σ = 1020412322082. Its totient is φ = 1020412322080.

The previous prime is 1020412321991. The next prime is 1020412322101. The reversal of 1020412322081 is 1802232140201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 705668881681 + 314743440400 = 840041^2 + 561020^2 .

It is a cyclic number.

It is not a de Polignac number, because 1020412322081 - 2³⁰ = 1019338580257 is a prime.

It is a super-2 number, since 2×1020412322081² (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1020412322081.

It is not a weakly prime, because it can be changed into another prime (1020412324081) 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, 510206161040 + 510206161041.

It is an arithmetic number, because the mean of its divisors is an integer number (510206161041).

Almost surely, 2^{1020412322081} is an apocalyptic number.

It is an amenable number.

1020412322081 is a deficient number, since it is larger than the sum of its proper divisors (1).

1020412322081 is an equidigital number, since it uses as much as digits as its factorization.

1020412322081 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1536, while the sum is 26.

Adding to 1020412322081 its reverse (1802232140201), we get a palindrome (2822644462282).

The spelling of 1020412322081 in words is "one trillion, twenty billion, four hundred twelve million, three hundred twenty-two thousand, eighty-one".