10007142112 has 24 divisors (see below), whose sum is σ = 21492612792. Its totient is φ = 4548700800.

The previous prime is 10007142097. The next prime is 10007142179. The reversal of 10007142112 is 21124170001.

10007142112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 10007142112.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 14214339 + ... + 14215042.

It is an arithmetic number, because the mean of its divisors is an integer number (895525533).

Almost surely, 2^10007142112 is an apocalyptic number.

It is an amenable number.

10007142112 is an abundant number, since it is smaller than the sum of its proper divisors (11485470680).

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

10007142112 is a wasteful number, since it uses less digits than its factorization.

10007142112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28429402 (or 28429394 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 19.

The spelling of 10007142112 in words is "ten billion, seven million, one hundred forty-two thousand, one hundred twelve".