10042021010205 has 24 divisors (see below), whose sum is σ = 17458756392480. Its totient is φ = 5339564033760.

The previous prime is 10042021010201. The next prime is 10042021010207. The reversal of 10042021010205 is 50201012024001.

10042021010205 is a `hidden beast` number, since 1 + 0 + 0 + 420 + 210 + 10 + 20 + 5 = 666.

It is not a de Polignac number, because 10042021010205 - 2² = 10042021010201 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10042021010201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 337078795 + ... + 337108584.

It is an arithmetic number, because the mean of its divisors is an integer number (727448183020).

Almost surely, 2^{10042021010205} is an apocalyptic number.

10042021010205 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10042021010205 is a deficient number, since it is larger than the sum of its proper divisors (7416735382275).

10042021010205 is a wasteful number, since it uses less digits than its factorization.

10042021010205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 674187721 (or 674187718 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

Adding to 10042021010205 its reverse (50201012024001), we get a palindrome (60243033034206).

The spelling of 10042021010205 in words is "ten trillion, forty-two billion, twenty-one million, ten thousand, two hundred five".