10142422410132 has 72 divisors (see below), whose sum is σ = 25810040273472. Its totient is φ = 3358097424000.

The previous prime is 10142422410103. The next prime is 10142422410139. The reversal of 10142422410132 is 23101422424101.

10142422410132 is a `hidden beast` number, since 1 + 0 + 1 + 4 + 242 + 2 + 410 + 1 + 3 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 10142422410096 and 10142422410105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10142422410139) 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 23 ways as a sum of consecutive naturals, for example, 60674707 + ... + 60841637.

It is an arithmetic number, because the mean of its divisors is an integer number (358472781576).

Almost surely, 2^{10142422410132} is an apocalyptic number.

10142422410132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10142422410132 is an abundant number, since it is smaller than the sum of its proper divisors (15667617863340).

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

10142422410132 is a wasteful number, since it uses less digits than its factorization.

10142422410132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178269 (or 178264 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 10142422410132 its reverse (23101422424101), we get a palindrome (33243844834233).

The spelling of 10142422410132 in words is "ten trillion, one hundred forty-two billion, four hundred twenty-two million, four hundred ten thousand, one hundred thirty-two".