10142130033220 has 24 divisors (see below), whose sum is σ = 21355573549464. Its totient is φ = 4045975731456.

The previous prime is 10142130033199. The next prime is 10142130033221. The reversal of 10142130033220 is 2233003124101.

It can be written as a sum of positive squares in 4 ways, for example, as 1892011254016 + 8250118779204 = 1375504^2 + 2872302^2 .

It is a super-2 number, since 2×10142130033220² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10142130033191 and 10142130033200.

It is not an unprimeable number, because it can be changed into a prime (10142130033221) 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 7 ways as a sum of consecutive naturals, for example, 679759969 + ... + 679774888.

It is an arithmetic number, because the mean of its divisors is an integer number (889815564561).

Almost surely, 2^{10142130033220} is an apocalyptic number.

10142130033220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10142130033220 is an abundant number, since it is smaller than the sum of its proper divisors (11213443516244).

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

10142130033220 is a wasteful number, since it uses less digits than its factorization.

10142130033220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1359535239 (or 1359535237 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 10142130033220 its reverse (2233003124101), we get a palindrome (12375133157321).

The spelling of 10142130033220 in words is "ten trillion, one hundred forty-two billion, one hundred thirty million, thirty-three thousand, two hundred twenty".