10042123205532 has 96 divisors (see below), whose sum is σ = 25829617524480. Its totient is φ = 3011191326720.

The previous prime is 10042123205479. The next prime is 10042123205551. The reversal of 10042123205532 is 23550232124001.

It is a super-2 number, since 2×10042123205532² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10042123205532.

It is a congruent number.

It is an unprimeable number.

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, 80205723 + ... + 80330829.

It is an arithmetic number, because the mean of its divisors is an integer number (269058515880).

Almost surely, 2^{10042123205532} is an apocalyptic number.

10042123205532 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10042123205532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12914808762240).

10042123205532 is an abundant number, since it is smaller than the sum of its proper divisors (15787494318948).

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

10042123205532 is a wasteful number, since it uses less digits than its factorization.

10042123205532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131491 (or 131489 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

Adding to 10042123205532 its reverse (23550232124001), we get a palindrome (33592355329533).

The spelling of 10042123205532 in words is "ten trillion, forty-two billion, one hundred twenty-three million, two hundred five thousand, five hundred thirty-two".