10042220224 has 56 divisors (see below), whose sum is σ = 20650352400. Its totient is φ = 4839582720.

The previous prime is 10042220213. The next prime is 10042220269. The reversal of 10042220224 is 42202224001.

It is a super-2 number, since 2×10042220224² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 1144494 + ... + 1153234.

Almost surely, 2^10042220224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10042220224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10325176200).

10042220224 is an abundant number, since it is smaller than the sum of its proper divisors (10608132176).

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

10042220224 is an equidigital number, since it uses as much as digits as its factorization.

10042220224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9401 (or 9391 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 19.

Adding to 10042220224 its reverse (42202224001), we get a palindrome (52244444225).

The spelling of 10042220224 in words is "ten billion, forty-two million, two hundred twenty thousand, two hundred twenty-four".