10042213120 has 72 divisors (see below), whose sum is σ = 24613774416. Its totient is φ = 3923447808.

The previous prime is 10042213117. The next prime is 10042213133. The reversal of 10042213120 is 2131224001.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 10042213094 and 10042213103.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 36187 + ... + 146266.

It is an arithmetic number, because the mean of its divisors is an integer number (341857978).

Almost surely, 2^10042213120 is an apocalyptic number.

10042213120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10042213120 is an abundant number, since it is smaller than the sum of its proper divisors (14571561296).

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

10042213120 is an equidigital number, since it uses as much as digits as its factorization.

10042213120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182517 (or 182503 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 10042213120 its reverse (2131224001), we get a palindrome (12173437121).

The spelling of 10042213120 in words is "ten billion, forty-two million, two hundred thirteen thousand, one hundred twenty".