10042124223131 has 64 divisors (see below), whose sum is σ = 14246742343680. Its totient is φ = 6816920653440.

The previous prime is 10042124222993. The next prime is 10042124223163. The reversal of 10042124223131 is 13132242124001.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 10042124223131 - 2³⁰ = 10041050481307 is a prime.

It is a super-2 number, since 2×10042124223131² (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 10042124223131.

It is not an unprimeable number, because it can be changed into a prime (10042124223181) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3998186 + ... + 6005808.

It is an arithmetic number, because the mean of its divisors is an integer number (222605349120).

Almost surely, 2^{10042124223131} is an apocalyptic number.

10042124223131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10042124223131 is a deficient number, since it is larger than the sum of its proper divisors (4204618120549).

10042124223131 is a wasteful number, since it uses less digits than its factorization.

10042124223131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2007936.

The product of its (nonzero) digits is 2304, while the sum is 26.

Adding to 10042124223131 its reverse (13132242124001), we get a palindrome (23174366347132).

The spelling of 10042124223131 in words is "ten trillion, forty-two billion, one hundred twenty-four million, two hundred twenty-three thousand, one hundred thirty-one".