10000242112 has 56 divisors (see below), whose sum is σ = 24013204704. Its totient is φ = 4033708032.

The previous prime is 10000242107. The next prime is 10000242113. The reversal of 10000242112 is 21124200001.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (56).

It is a junction number, because it is equal to n+sod(n) for n = 10000242092 and 10000242101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10000242113) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 648913 + ... + 664144.

Almost surely, 2^10000242112 is an apocalyptic number.

It is an amenable number.

10000242112 is an abundant number, since it is smaller than the sum of its proper divisors (14012962592).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10000242112 is a wasteful number, since it uses less digits than its factorization.

10000242112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1313093 (or 1313083 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 10000242112 its reverse (21124200001), we get a palindrome (31124442113).

The spelling of 10000242112 in words is "ten billion, two hundred forty-two thousand, one hundred twelve".