101123113121 has 4 divisors (see below), whose sum is σ = 101383070100. Its totient is φ = 100863156144.

The previous prime is 101123113099. The next prime is 101123113159. The reversal of 101123113121 is 121311321101.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 121311321101 = 47087 ⋅2576323.

It can be written as a sum of positive squares in 2 ways, for example, as 10904580625 + 90218532496 = 104425^2 + 300364^2 .

It is a cyclic number.

It is not a de Polignac number, because 101123113121 - 2¹⁸ = 101122850977 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 101123113121.

It is not an unprimeable number, because it can be changed into a prime (101123163121) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 129977906 + ... + 129978683.

It is an arithmetic number, because the mean of its divisors is an integer number (25345767525).

Almost surely, 2^101123113121 is an apocalyptic number.

It is an amenable number.

101123113121 is a deficient number, since it is larger than the sum of its proper divisors (259956979).

101123113121 is an equidigital number, since it uses as much as digits as its factorization.

101123113121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 259956978.

The product of its (nonzero) digits is 36, while the sum is 17.

Adding to 101123113121 its reverse (121311321101), we get a palindrome (222434434222).

The spelling of 101123113121 in words is "one hundred one billion, one hundred twenty-three million, one hundred thirteen thousand, one hundred twenty-one".