81222081203041 has 2 divisors, whose sum is σ = 81222081203042. Its totient is φ = 81222081203040.

The previous prime is 81222081202963. The next prime is 81222081203119. The reversal of 81222081203041 is 14030218022218.

It is a balanced prime because it is at equal distance from previous prime (81222081202963) and next prime (81222081203119).

It can be written as a sum of positive squares in only one way, i.e., 77207151297600 + 4014929905441 = 8786760^2 + 2003729^2 .

It is a cyclic number.

It is not a de Polignac number, because 81222081203041 - 2¹¹ = 81222081200993 is a prime.

It is a super-2 number, since 2×81222081203041² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 81222081202988 and 81222081203006.

It is not a weakly prime, because it can be changed into another prime (81222081203141) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 40611040601520 + 40611040601521.

It is an arithmetic number, because the mean of its divisors is an integer number (40611040601521).

Almost surely, 2^{81222081203041} is an apocalyptic number.

It is an amenable number.

81222081203041 is a deficient number, since it is larger than the sum of its proper divisors (1).

81222081203041 is an equidigital number, since it uses as much as digits as its factorization.

81222081203041 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 12288, while the sum is 34.

Adding to 81222081203041 its reverse (14030218022218), we get a palindrome (95252299225259).

The spelling of 81222081203041 in words is "eighty-one trillion, two hundred twenty-two billion, eighty-one million, two hundred three thousand, forty-one".