10412041142177 has 2 divisors, whose sum is σ = 10412041142178. Its totient is φ = 10412041142176.

The previous prime is 10412041142101. The next prime is 10412041142203. The reversal of 10412041142177 is 77124114021401.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7806525408256 + 2605515733921 = 2794016^2 + 1614161^2 .

It is a cyclic number.

It is not a de Polignac number, because 10412041142177 - 2²⁸ = 10411772706721 is a prime.

It is not a weakly prime, because it can be changed into another prime (10412041142777) 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, 5206020571088 + 5206020571089.

It is an arithmetic number, because the mean of its divisors is an integer number (5206020571089).

Almost surely, 2^{10412041142177} is an apocalyptic number.

It is an amenable number.

10412041142177 is a deficient number, since it is larger than the sum of its proper divisors (1).

10412041142177 is an equidigital number, since it uses as much as digits as its factorization.

10412041142177 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 12544, while the sum is 35.

Adding to 10412041142177 its reverse (77124114021401), we get a palindrome (87536155163578).

The spelling of 10412041142177 in words is "ten trillion, four hundred twelve billion, forty-one million, one hundred forty-two thousand, one hundred seventy-seven".