10022210016 has 96 divisors (see below), whose sum is σ = 32379475968. Its totient is φ = 2643217920.

The previous prime is 10022209997. The next prime is 10022210063. The reversal of 10022210016 is 61001222001.

10022210016 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 10022209977 and 10022210004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 564880 + ... + 582351.

It is an arithmetic number, because the mean of its divisors is an integer number (337286208).

Almost surely, 2^10022210016 is an apocalyptic number.

10022210016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

10022210016 is an abundant number, since it is smaller than the sum of its proper divisors (22357265952).

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

10022210016 is a wasteful number, since it uses less digits than its factorization.

10022210016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1147264 (or 1147256 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 10022210016 its reverse (61001222001), we get a palindrome (71023432017).

The spelling of 10022210016 in words is "ten billion, twenty-two million, two hundred ten thousand, sixteen".