10113110312121 has 12 divisors (see below), whose sum is σ = 15002632115172. Its totient is φ = 6559855337376.

The previous prime is 10113110312099. The next prime is 10113110312131. The reversal of 10113110312121 is 12121301131101.

10113110312121 is a `hidden beast` number, since 10 + 11 + 311 + 0 + 312 + 1 + 21 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 7811108266896 + 2302002045225 = 2794836^2 + 1517235^2 .

It is not a de Polignac number, because 10113110312121 - 2¹⁰ = 10113110311097 is a prime.

It is a super-2 number, since 2×10113110312121² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10113110312094 and 10113110312103.

It is not an unprimeable number, because it can be changed into a prime (10113110312131) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15184849986 + ... + 15184850651.

It is an arithmetic number, because the mean of its divisors is an integer number (1250219342931).

Almost surely, 2^{10113110312121} is an apocalyptic number.

It is an amenable number.

10113110312121 is a deficient number, since it is larger than the sum of its proper divisors (4889521803051).

10113110312121 is a wasteful number, since it uses less digits than its factorization.

10113110312121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30369700680 (or 30369700677 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 18.

Adding to 10113110312121 its reverse (12121301131101), we get a palindrome (22234411443222).

The spelling of 10113110312121 in words is "ten trillion, one hundred thirteen billion, one hundred ten million, three hundred twelve thousand, one hundred twenty-one".