73035344100101 has 2 divisors, whose sum is σ = 73035344100102. Its totient is φ = 73035344100100.

The previous prime is 73035344100079. The next prime is 73035344100119. The reversal of 73035344100101 is 10100144353037.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 43498575669025 + 29536768431076 = 6595345^2 + 5434774^2 .

It is an emirp because it is prime and its reverse (10100144353037) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 73035344100101 - 2¹⁸ = 73035343837957 is a prime.

It is a super-2 number, since 2×73035344100101² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (73035344100161) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36517672050050 + 36517672050051.

It is an arithmetic number, because the mean of its divisors is an integer number (36517672050051).

Almost surely, 2^{73035344100101} is an apocalyptic number.

It is an amenable number.

73035344100101 is a deficient number, since it is larger than the sum of its proper divisors (1).

73035344100101 is an equidigital number, since it uses as much as digits as its factorization.

73035344100101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 15120, while the sum is 32.

Adding to 73035344100101 its reverse (10100144353037), we get a palindrome (83135488453138).

The spelling of 73035344100101 in words is "seventy-three trillion, thirty-five billion, three hundred forty-four million, one hundred thousand, one hundred one".