10001112318377 has 16 divisors (see below), whose sum is σ = 10526620427280. Its totient is φ = 9487979289600.

The previous prime is 10001112318293. The next prime is 10001112318397. The reversal of 10001112318377 is 77381321110001.

It can be written as a sum of positive squares in 8 ways, for example, as 14349404521 + 9986762913856 = 119789^2 + 3160184^2 .

It is a cyclic number.

It is not a de Polignac number, because 10001112318377 - 2¹⁶ = 10001112252841 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10001112318397) 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 in 15 ways as a sum of consecutive naturals, for example, 1280324 + ... + 4652037.

It is an arithmetic number, because the mean of its divisors is an integer number (657913776705).

Almost surely, 2^{10001112318377} is an apocalyptic number.

It is an amenable number.

10001112318377 is a deficient number, since it is larger than the sum of its proper divisors (525508108903).

10001112318377 is an equidigital number, since it uses as much as digits as its factorization.

10001112318377 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5933404.

The product of its (nonzero) digits is 7056, while the sum is 35.

Adding to 10001112318377 its reverse (77381321110001), we get a palindrome (87382433428378).

The spelling of 10001112318377 in words is "ten trillion, one billion, one hundred twelve million, three hundred eighteen thousand, three hundred seventy-seven".