103123222101 has 12 divisors (see below), whose sum is σ = 150430576140. Its totient is φ = 68068132800.

The previous prime is 103123222049. The next prime is 103123222129. The reversal of 103123222101 is 101222321301.

103123222101 is a `hidden beast` number, since 10 + 312 + 322 + 21 + 0 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 83520422001 + 19602800100 = 288999^2 + 140010^2 .

It is not a de Polignac number, because 103123222101 - 2¹⁰ = 103123221077 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103123222141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 56722536 + ... + 56724353.

It is an arithmetic number, because the mean of its divisors is an integer number (12535881345).

Almost surely, 2^103123222101 is an apocalyptic number.

It is an amenable number.

103123222101 is a deficient number, since it is larger than the sum of its proper divisors (47307354039).

103123222101 is a wasteful number, since it uses less digits than its factorization.

103123222101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113446996 (or 113446993 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 103123222101 its reverse (101222321301), we get a palindrome (204345543402).

The spelling of 103123222101 in words is "one hundred three billion, one hundred twenty-three million, two hundred twenty-two thousand, one hundred one".