10135454302081 has 2 divisors, whose sum is σ = 10135454302082. Its totient is φ = 10135454302080.

The previous prime is 10135454302079. The next prime is 10135454302093. The reversal of 10135454302081 is 18020345453101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8092227059856 + 2043227242225 = 2844684^2 + 1429415^2 .

It is a cyclic number.

It is not a de Polignac number, because 10135454302081 - 2¹ = 10135454302079 is a prime.

It is a super-2 number, since 2×10135454302081² (a number of 27 digits) contains 22 as substring.

Together with 10135454302079, it forms a pair of twin primes.

It is a self number, because there is not a number n which added to its sum of digits gives 10135454302081.

It is not a weakly prime, because it can be changed into another prime (10135454302381) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5067727151040 + 5067727151041.

It is an arithmetic number, because the mean of its divisors is an integer number (5067727151041).

Almost surely, 2^{10135454302081} is an apocalyptic number.

It is an amenable number.

10135454302081 is a deficient number, since it is larger than the sum of its proper divisors (1).

10135454302081 is an equidigital number, since it uses as much as digits as its factorization.

10135454302081 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 57600, while the sum is 37.

Adding to 10135454302081 its reverse (18020345453101), we get a palindrome (28155799755182).

The spelling of 10135454302081 in words is "ten trillion, one hundred thirty-five billion, four hundred fifty-four million, three hundred two thousand, eighty-one".