10117377044935 has 32 divisors (see below), whose sum is σ = 12745538023680. Its totient is φ = 7699281408000.

The previous prime is 10117377044933. The next prime is 10117377044989. The reversal of 10117377044935 is 53944077371101.

It is not a de Polignac number, because 10117377044935 - 2¹ = 10117377044933 is a prime.

It is a super-2 number, since 2×10117377044935² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10117377044933) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9118335 + ... + 10167535.

It is an arithmetic number, because the mean of its divisors is an integer number (398298063240).

Almost surely, 2^{10117377044935} is an apocalyptic number.

10117377044935 is a deficient number, since it is larger than the sum of its proper divisors (2628160978745).

10117377044935 is a wasteful number, since it uses less digits than its factorization.

10117377044935 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1050219.

The product of its (nonzero) digits is 2222640, while the sum is 52.

The spelling of 10117377044935 in words is "ten trillion, one hundred seventeen billion, three hundred seventy-seven million, forty-four thousand, nine hundred thirty-five".