10242124101 has 24 divisors (see below), whose sum is σ = 16228299360. Its totient is φ = 6173042400.

The previous prime is 10242124093. The next prime is 10242124103. The reversal of 10242124101 is 10142124201.

10242124101 is a `hidden beast` number, since 1 + 0 + 2 + 421 + 241 + 0 + 1 = 666.

It is not a de Polignac number, because 10242124101 - 2³ = 10242124093 is a prime.

It is a super-2 number, since 2×10242124101² (a number of 21 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10242124103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 267871 + ... + 303708.

It is an arithmetic number, because the mean of its divisors is an integer number (676179140).

Almost surely, 2^10242124101 is an apocalyptic number.

10242124101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10242124101 is a deficient number, since it is larger than the sum of its proper divisors (5986175259).

10242124101 is a wasteful number, since it uses less digits than its factorization.

10242124101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 571777 (or 571774 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 10242124101 its reverse (10142124201), we get a palindrome (20384248302).

The spelling of 10242124101 in words is "ten billion, two hundred forty-two million, one hundred twenty-four thousand, one hundred one".