123003101 has 12 divisors (see below), whose sum is σ = 133571700. Its totient is φ = 113218560.

The previous prime is 123003061. The next prime is 123003217. The reversal of 123003101 is 101300321.

It can be written as a sum of positive squares in 6 ways, for example, as 4519876 + 118483225 = 2126^2 + 10885^2 .

It is not a de Polignac number, because 123003101 - 2⁶ = 123003037 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123002101) 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, 75071 + ... + 76691.

It is an arithmetic number, because the mean of its divisors is an integer number (11130975).

Almost surely, 2^123003101 is an apocalyptic number.

It is an amenable number.

123003101 is a deficient number, since it is larger than the sum of its proper divisors (10568599).

123003101 is a wasteful number, since it uses less digits than its factorization.

123003101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2096 (or 2083 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 11.

The square root of 123003101 is about 11090.6763094051. The cubic root of 123003101 is about 497.3231626580.

Adding to 123003101 its reverse (101300321), we get a palindrome (224303422).

The spelling of 123003101 in words is "one hundred twenty-three million, three thousand, one hundred one".