123101 has 12 divisors (see below), whose sum is σ = 146304. Its totient is φ = 102600.

The previous prime is 123091. The next prime is 123113. The reversal of 123101 is 101321.

123101 = 5³ + 6³ + ... + 26³.

It is a de Polignac number, because none of the positive numbers 2^k-123101 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 (123121) 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, 3956 + ... + 3986.

It is an arithmetic number, because the mean of its divisors is an integer number (12192).

2¹²³¹⁰¹ is an apocalyptic number.

123101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

123101 is a deficient number, since it is larger than the sum of its proper divisors (23203).

123101 is a wasteful number, since it uses less digits than its factorization.

123101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 8.

The square root of 123101 is about 350.8575209398. The cubic root of 123101 is about 49.7455068626.

Adding to 123101 its reverse (101321), we get a palindrome (224422).

It can be divided in two parts, 12 and 3101, that added together give a palindrome (3113).

The spelling of 123101 in words is "one hundred twenty-three thousand, one hundred one", and thus it is an iban number.