10123110331101 has 32 divisors (see below), whose sum is σ = 15825087072000. Its totient is φ = 6382785049344.

The previous prime is 10123110331051. The next prime is 10123110331109. The reversal of 10123110331101 is 10113301132101.

10123110331101 is a `hidden beast` number, since 1 + 0 + 1 + 231 + 1 + 0 + 331 + 101 = 666.

It is not a de Polignac number, because 10123110331101 - 2³⁰ = 10122036589277 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 (10123110331109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 91525096 + ... + 91635633.

It is an arithmetic number, because the mean of its divisors is an integer number (494533971000).

Almost surely, 2^{10123110331101} is an apocalyptic number.

It is an amenable number.

10123110331101 is a deficient number, since it is larger than the sum of its proper divisors (5701976740899).

10123110331101 is a wasteful number, since it uses less digits than its factorization.

10123110331101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183160850 (or 183160844 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 18.

Adding to 10123110331101 its reverse (10113301132101), we get a palindrome (20236411463202).

The spelling of 10123110331101 in words is "ten trillion, one hundred twenty-three billion, one hundred ten million, three hundred thirty-one thousand, one hundred one".