10117121601 has 4 divisors (see below), whose sum is σ = 13489495472. Its totient is φ = 6744747732.

The previous prime is 10117121579. The next prime is 10117121639. The reversal of 10117121601 is 10612171101.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is not a de Polignac number, because 10117121601 - 2⁹ = 10117121089 is a prime.

It is a super-2 number, since 2×10117121601² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10117121671) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 1686186931 + ... + 1686186936.

It is an arithmetic number, because the mean of its divisors is an integer number (3372373868).

Almost surely, 2^10117121601 is an apocalyptic number.

It is an amenable number.

10117121601 is a deficient number, since it is larger than the sum of its proper divisors (3372373871).

10117121601 is an equidigital number, since it uses as much as digits as its factorization.

10117121601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3372373870.

The product of its (nonzero) digits is 84, while the sum is 21.

Adding to 10117121601 its reverse (10612171101), we get a palindrome (20729292702).

The spelling of 10117121601 in words is "ten billion, one hundred seventeen million, one hundred twenty-one thousand, six hundred one".