10017127044 has 18 divisors (see below), whose sum is σ = 25321071230. Its totient is φ = 3339042336.

The previous prime is 10017127033. The next prime is 10017127067. The reversal of 10017127044 is 44072171001.

It can be written as a sum of positive squares in only one way, i.e., 8374446144 + 1642680900 = 91512^2 + 40530^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a junction number, because it is equal to n+sod(n) for n = 10017126999 and 10017127017.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 139126729 + ... + 139126800.

Almost surely, 2^10017127044 is an apocalyptic number.

It is an amenable number.

10017127044 is an abundant number, since it is smaller than the sum of its proper divisors (15303944186).

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

10017127044 is a wasteful number, since it uses less digits than its factorization.

10017127044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278253539 (or 278253534 counting only the distinct ones).

The product of its (nonzero) digits is 1568, while the sum is 27.

Adding to 10017127044 its reverse (44072171001), we get a palindrome (54089298045).

The spelling of 10017127044 in words is "ten billion, seventeen million, one hundred twenty-seven thousand, forty-four".