10142033220 has 96 divisors (see below), whose sum is σ = 34421466240. Its totient is φ = 2458673280.

The previous prime is 10142033219. The next prime is 10142033221. The reversal of 10142033220 is 2233024101.

It is an interprime number because it is at equal distance from previous prime (10142033219) and next prime (10142033221).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 10142033193 and 10142033202.

It is not an unprimeable number, because it can be changed into a prime (10142033221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 847767 + ... + 859646.

It is an arithmetic number, because the mean of its divisors is an integer number (358556940).

Almost surely, 2^10142033220 is an apocalyptic number.

10142033220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10142033220 is an abundant number, since it is smaller than the sum of its proper divisors (24279433020).

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

10142033220 is a wasteful number, since it uses less digits than its factorization.

10142033220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1707442 (or 1707434 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 10142033220 its reverse (2233024101), we get a palindrome (12375057321).

The spelling of 10142033220 in words is "ten billion, one hundred forty-two million, thirty-three thousand, two hundred twenty".