10114041042073 has 2 divisors, whose sum is σ = 10114041042074. Its totient is φ = 10114041042072.

The previous prime is 10114041042029. The next prime is 10114041042101. The reversal of 10114041042073 is 37024014041101.

It is an a-pointer prime, because the next prime (10114041042101) can be obtained adding 10114041042073 to its sum of digits (28).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9829554284944 + 284486757129 = 3135212^2 + 533373^2 .

It is a cyclic number.

It is not a de Polignac number, because 10114041042073 - 2³³ = 10105451107481 is a prime.

It is a super-2 number, since 2×10114041042073² (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (10114041042773) 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, 5057020521036 + 5057020521037.

It is an arithmetic number, because the mean of its divisors is an integer number (5057020521037).

Almost surely, 2^{10114041042073} is an apocalyptic number.

It is an amenable number.

10114041042073 is a deficient number, since it is larger than the sum of its proper divisors (1).

10114041042073 is an equidigital number, since it uses as much as digits as its factorization.

10114041042073 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2688, while the sum is 28.

Adding to 10114041042073 its reverse (37024014041101), we get a palindrome (47138055083174).

The spelling of 10114041042073 in words is "ten trillion, one hundred fourteen billion, forty-one million, forty-two thousand, seventy-three".