10011112010177 has 2 divisors, whose sum is σ = 10011112010178. Its totient is φ = 10011112010176.

The previous prime is 10011112010113. The next prime is 10011112010309. The reversal of 10011112010177 is 77101021111001.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 7983133797136 + 2027978213041 = 2825444^2 + 1424071^2 .

It is a cyclic number.

It is not a de Polignac number, because 10011112010177 - 2⁶ = 10011112010113 is a prime.

It is not a weakly prime, because it can be changed into another prime (10011112010477) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5005556005088 + 5005556005089.

It is an arithmetic number, because the mean of its divisors is an integer number (5005556005089).

Almost surely, 2^{10011112010177} is an apocalyptic number.

It is an amenable number.

10011112010177 is a deficient number, since it is larger than the sum of its proper divisors (1).

10011112010177 is an equidigital number, since it uses as much as digits as its factorization.

10011112010177 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 98, while the sum is 23.

Adding to 10011112010177 its reverse (77101021111001), we get a palindrome (87112133121178).

The spelling of 10011112010177 in words is "ten trillion, eleven billion, one hundred twelve million, ten thousand, one hundred seventy-seven".