10117205101 has 16 divisors (see below), whose sum is σ = 10883727360. Its totient is φ = 9374367600.

The previous prime is 10117205093. The next prime is 10117205113. The reversal of 10117205101 is 10150271101.

It is a cyclic number.

It is not a de Polignac number, because 10117205101 - 2³ = 10117205093 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10117205171) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1739340 + ... + 1745146.

It is an arithmetic number, because the mean of its divisors is an integer number (680232960).

Almost surely, 2^10117205101 is an apocalyptic number.

It is an amenable number.

10117205101 is a deficient number, since it is larger than the sum of its proper divisors (766522259).

10117205101 is a wasteful number, since it uses less digits than its factorization.

10117205101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7824.

The product of its (nonzero) digits is 70, while the sum is 19.

Adding to 10117205101 its reverse (10150271101), we get a palindrome (20267476202).

The spelling of 10117205101 in words is "ten billion, one hundred seventeen million, two hundred five thousand, one hundred one".