10142024321 has 16 divisors (see below), whose sum is σ = 11924781120. Its totient is φ = 8503878720.

The previous prime is 10142024309. The next prime is 10142024351. The reversal of 10142024321 is 12342024101.

It is a cyclic number.

It is not a de Polignac number, because 10142024321 - 2¹⁴ = 10142007937 is a prime.

It is a super-2 number, since 2×10142024321² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10142024293 and 10142024302.

It is not an unprimeable number, because it can be changed into a prime (10142024351) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 151871 + ... + 208203.

It is an arithmetic number, because the mean of its divisors is an integer number (745298820).

Almost surely, 2^10142024321 is an apocalyptic number.

10142024321 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10142024321 is a deficient number, since it is larger than the sum of its proper divisors (1782756799).

10142024321 is a wasteful number, since it uses less digits than its factorization.

10142024321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57616.

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 10142024321 its reverse (12342024101), we get a palindrome (22484048422).

The spelling of 10142024321 in words is "ten billion, one hundred forty-two million, twenty-four thousand, three hundred twenty-one".