10113110312101 has 8 divisors (see below), whose sum is σ = 10279414370264. Its totient is φ = 9946822878720.

The previous prime is 10113110312099. The next prime is 10113110312131. The reversal of 10113110312101 is 10121301131101.

It can be written as a sum of positive squares in 4 ways, for example, as 816404409601 + 9296705902500 = 903551^2 + 3049050^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10113110312101 - 2¹ = 10113110312099 is a prime.

It is a super-3 number, since 3×10113110312101³ (a number of 40 digits) contains 333 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10113110312131) 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 7 ways as a sum of consecutive naturals, for example, 2926596 + ... + 5365741.

It is an arithmetic number, because the mean of its divisors is an integer number (1284926796283).

Almost surely, 2^{10113110312101} is an apocalyptic number.

It is an amenable number.

10113110312101 is a deficient number, since it is larger than the sum of its proper divisors (166304058163).

10113110312101 is an equidigital number, since it uses as much as digits as its factorization.

10113110312101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8312391.

The product of its (nonzero) digits is 18, while the sum is 16.

Adding to 10113110312101 its reverse (10121301131101), we get a palindrome (20234411443202).

The spelling of 10113110312101 in words is "ten trillion, one hundred thirteen billion, one hundred ten million, three hundred twelve thousand, one hundred one".