10142224410321 has 20 divisors (see below), whose sum is σ = 15520260304164. Its totient is φ = 6596568720000.

The previous prime is 10142224410281. The next prime is 10142224410343. The reversal of 10142224410321 is 12301442224101.

10142224410321 is a `hidden beast` number, since 1 + 0 + 1 + 4 + 2 + 224 + 410 + 3 + 21 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 5112234050625 + 5029990359696 = 2261025^2 + 2242764^2 .

It is not a de Polignac number, because 10142224410321 - 2¹³ = 10142224402129 is a prime.

It is a super-2 number, since 2×10142224410321² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (10142224410371) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1526980180 + ... + 1526986821.

Almost surely, 2^{10142224410321} is an apocalyptic number.

It is an amenable number.

10142224410321 is a deficient number, since it is larger than the sum of its proper divisors (5378035893843).

10142224410321 is an equidigital number, since it uses as much as digits as its factorization.

10142224410321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3053967054 (or 3053967045 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 10142224410321 its reverse (12301442224101), we get a palindrome (22443666634422).

The spelling of 10142224410321 in words is "ten trillion, one hundred forty-two billion, two hundred twenty-four million, four hundred ten thousand, three hundred twenty-one".