10117312128 has 1280 divisors, whose sum is σ = 42653952000. Its totient is φ = 2299207680.

The previous prime is 10117312123. The next prime is 10117312169. The reversal of 10117312128 is 82121371101.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (10117312123) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 348872818 + ... + 348872846.

It is an arithmetic number, because the mean of its divisors is an integer number (33323400).

Almost surely, 2^10117312128 is an apocalyptic number.

10117312128 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10117312128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21326976000).

10117312128 is an abundant number, since it is smaller than the sum of its proper divisors (32536639872).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10117312128 is a wasteful number, since it uses less digits than its factorization.

10117312128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 27.

Adding to 10117312128 its reverse (82121371101), we get a palindrome (92238683229).

The spelling of 10117312128 in words is "ten billion, one hundred seventeen million, three hundred twelve thousand, one hundred twenty-eight".