103112321121 has 24 divisors (see below), whose sum is σ = 150307433640. Its totient is φ = 68110834176.

The previous prime is 103112321113. The next prime is 103112321141. The reversal of 103112321121 is 121123211301.

103112321121 is a `hidden beast` number, since 1 + 0 + 311 + 232 + 1 + 121 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 34332013521 + 68780307600 = 185289^2 + 262260^2 .

It is not a de Polignac number, because 103112321121 - 2³ = 103112321113 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 103112321094 and 103112321103.

It is not an unprimeable number, because it can be changed into a prime (103112321141) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3431655 + ... + 3461571.

It is an arithmetic number, because the mean of its divisors is an integer number (6262809735).

Almost surely, 2^103112321121 is an apocalyptic number.

It is an amenable number.

103112321121 is a deficient number, since it is larger than the sum of its proper divisors (47195112519).

103112321121 is a wasteful number, since it uses less digits than its factorization.

103112321121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33425 (or 33422 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 103112321121 its reverse (121123211301), we get a palindrome (224235532422).

The spelling of 103112321121 in words is "one hundred three billion, one hundred twelve million, three hundred twenty-one thousand, one hundred twenty-one".