10101616316416 has 117 divisors (see below), whose sum is σ = 20611101279531. Its totient is φ = 4950221193216.

The previous prime is 10101616316339. The next prime is 10101616316417. The reversal of 10101616316416 is 61461361610101.

The square root of 10101616316416 is 3178304.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 1030436130816 + 9071180185600 = 1015104^2 + 3011840^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10101616316417) by changing a digit.

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 8 ways as a sum of consecutive naturals, for example, 10780806700 + ... + 10780807636.

Almost surely, 2^{10101616316416} is an apocalyptic number.

10101616316416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

10101616316416 is the 3178304-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10101616316416

10101616316416 is an abundant number, since it is smaller than the sum of its proper divisors (10509484963115).

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

10101616316416 is an frugal number, since it uses more digits than its factorization.

10101616316416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2004 (or 992 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 37.

Adding to 10101616316416 its reverse (61461361610101), we get a palindrome (71562977926517).

The spelling of 10101616316416 in words is "ten trillion, one hundred one billion, six hundred sixteen million, three hundred sixteen thousand, four hundred sixteen".