123131122101 has 12 divisors (see below), whose sum is σ = 191537301228. Its totient is φ = 75772998144.

The previous prime is 123131122099. The next prime is 123131122159. The reversal of 123131122101 is 101221131321.

123131122101 is a `hidden beast` number, since 1 + 231 + 311 + 22 + 101 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 72697640625 + 50433481476 = 269625^2 + 224574^2 .

It is not a de Polignac number, because 123131122101 - 2¹ = 123131122099 is a prime.

It is a super-2 number, since 2×123131122101² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123131122171) 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, 526201260 + ... + 526201493.

It is an arithmetic number, because the mean of its divisors is an integer number (15961441769).

Almost surely, 2^123131122101 is an apocalyptic number.

It is an amenable number.

123131122101 is a deficient number, since it is larger than the sum of its proper divisors (68406179127).

123131122101 is a wasteful number, since it uses less digits than its factorization.

123131122101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1052402772 (or 1052402769 counting only the distinct ones).

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

Adding to 123131122101 its reverse (101221131321), we get a palindrome (224352253422).

The spelling of 123131122101 in words is "one hundred twenty-three billion, one hundred thirty-one million, one hundred twenty-two thousand, one hundred one".