1001114014177 has 2 divisors, whose sum is σ = 1001114014178. Its totient is φ = 1001114014176.

The previous prime is 1001114014163. The next prime is 1001114014213. The reversal of 1001114014177 is 7714104111001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 561384553536 + 439729460641 = 749256^2 + 663121^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1001114014177 is a prime.

It is not a weakly prime, because it can be changed into another prime (1001114024177) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 500557007088 + 500557007089.

It is an arithmetic number, because the mean of its divisors is an integer number (500557007089).

Almost surely, 2^{1001114014177} is an apocalyptic number.

It is an amenable number.

1001114014177 is a deficient number, since it is larger than the sum of its proper divisors (1).

1001114014177 is an equidigital number, since it uses as much as digits as its factorization.

1001114014177 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 784, while the sum is 28.

Adding to 1001114014177 its reverse (7714104111001), we get a palindrome (8715218125178).

The spelling of 1001114014177 in words is "one trillion, one billion, one hundred fourteen million, fourteen thousand, one hundred seventy-seven".