101011001084593 has 2 divisors, whose sum is σ = 101011001084594. Its totient is φ = 101011001084592.

The previous prime is 101011001084579. The next prime is 101011001084627. The reversal of 101011001084593 is 395480100110101.

It is an a-pointer prime, because the next prime (101011001084627) can be obtained adding 101011001084593 to its sum of digits (34).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 56268721557504 + 44742279527089 = 7501248^2 + 6688967^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101011001084593 is a prime.

It is a super-2 number, since 2×101011001084593² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (101011001084993) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50505500542296 + 50505500542297.

It is an arithmetic number, because the mean of its divisors is an integer number (50505500542297).

Almost surely, 2^{101011001084593} is an apocalyptic number.

It is an amenable number.

101011001084593 is a deficient number, since it is larger than the sum of its proper divisors (1).

101011001084593 is an equidigital number, since it uses as much as digits as its factorization.

101011001084593 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4320, while the sum is 34.

Adding to 101011001084593 its reverse (395480100110101), we get a palindrome (496491101194694).

The spelling of 101011001084593 in words is "one hundred one trillion, eleven billion, one million, eighty-four thousand, five hundred ninety-three".