10011141417 has 16 divisors (see below), whose sum is σ = 14042520000. Its totient is φ = 6334730304.

The previous prime is 10011141397. The next prime is 10011141451. The reversal of 10011141417 is 71414111001.

10011141417 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10011141417 - 2⁶ = 10011141353 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10011141393 and 10011141402.

It is not an unprimeable number, because it can be changed into a prime (10011141487) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 970042 + ... + 980307.

It is an arithmetic number, because the mean of its divisors is an integer number (877657500).

Almost surely, 2^10011141417 is an apocalyptic number.

It is an amenable number.

10011141417 is a deficient number, since it is larger than the sum of its proper divisors (4031378583).

10011141417 is a wasteful number, since it uses less digits than its factorization.

10011141417 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1950440.

The product of its (nonzero) digits is 112, while the sum is 21.

Adding to 10011141417 its reverse (71414111001), we get a palindrome (81425252418).

The spelling of 10011141417 in words is "ten billion, eleven million, one hundred forty-one thousand, four hundred seventeen".