10022030016 has 84 divisors (see below), whose sum is σ = 27985879512. Its totient is φ = 3164829696.

The previous prime is 10022029999. The next prime is 10022030027. The reversal of 10022030016 is 61003022001.

It is a junction number, because it is equal to n+sod(n) for n = 10022029977 and 10022030004.

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 11 ways as a sum of consecutive naturals, for example, 2985 + ... + 141608.

Almost surely, 2^10022030016 is an apocalyptic number.

10022030016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10022030016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13992939756).

10022030016 is an abundant number, since it is smaller than the sum of its proper divisors (17963849496).

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

10022030016 is a wasteful number, since it uses less digits than its factorization.

10022030016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144646 (or 144617 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 10022030016 its reverse (61003022001), we get a palindrome (71025052017).

The spelling of 10022030016 in words is "ten billion, twenty-two million, thirty thousand, sixteen".