10126042442142 has 64 divisors (see below), whose sum is σ = 23292152432640. Its totient is φ = 2902476607200.

The previous prime is 10126042442101. The next prime is 10126042442147. The reversal of 10126042442142 is 24124424062101.

It is a super-2 number, since 2×10126042442142² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10126042442147) 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 31 ways as a sum of consecutive naturals, for example, 5472834 + ... + 7085477.

It is an arithmetic number, because the mean of its divisors is an integer number (363939881760).

Almost surely, 2^{10126042442142} is an apocalyptic number.

10126042442142 is an abundant number, since it is smaller than the sum of its proper divisors (13166109990498).

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

10126042442142 is a wasteful number, since it uses less digits than its factorization.

10126042442142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12558989.

The product of its (nonzero) digits is 24576, while the sum is 33.

The spelling of 10126042442142 in words is "ten trillion, one hundred twenty-six billion, forty-two million, four hundred forty-two thousand, one hundred forty-two".