10100000016 has 120 divisors (see below), whose sum is σ = 29963923704. Its totient is φ = 3164897280.

The previous prime is 10100000011. The next prime is 10100000017. The reversal of 10100000016 is 61000000101.

It can be written as a sum of positive squares in 4 ways, for example, as 1544490000 + 8555510016 = 39300^2 + 92496^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 10099999953 and 10100000007.

It is not an unprimeable number, because it can be changed into a prime (10100000011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2683576 + ... + 2687336.

Almost surely, 2^10100000016 is an apocalyptic number.

10100000016 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 10100000016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14981961852).

10100000016 is an abundant number, since it is smaller than the sum of its proper divisors (19863923688).

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

10100000016 is a wasteful number, since it uses less digits than its factorization.

10100000016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4889 (or 4880 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

Adding to 10100000016 its reverse (61000000101), we get a palindrome (71100000117).

The spelling of 10100000016 in words is "ten billion, one hundred million, sixteen", and thus it is an aban number.