10012135025442 has 128 divisors (see below), whose sum is σ = 22460497920000. Its totient is φ = 2949661915200.

The previous prime is 10012135025441. The next prime is 10012135025443. The reversal of 10012135025442 is 24452053121001.

It is an interprime number because it is at equal distance from previous prime (10012135025441) and next prime (10012135025443).

It is not an unprimeable number, because it can be changed into a prime (10012135025441) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 1222329567 + ... + 1222337757.

It is an arithmetic number, because the mean of its divisors is an integer number (175472640000).

Almost surely, 2^{10012135025442} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10012135025442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11230248960000).

10012135025442 is an abundant number, since it is smaller than the sum of its proper divisors (12448362894558).

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

10012135025442 is a wasteful number, since it uses less digits than its factorization.

10012135025442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11852.

The product of its (nonzero) digits is 9600, while the sum is 30.

Adding to 10012135025442 its reverse (24452053121001), we get a palindrome (34464188146443).

The spelling of 10012135025442 in words is "ten trillion, twelve billion, one hundred thirty-five million, twenty-five thousand, four hundred forty-two".