10001150016 has 224 divisors, whose sum is σ = 31190842368. Its totient is φ = 2788239360.

The previous prime is 10001150009. The next prime is 10001150059. The reversal of 10001150016 is 61005110001.

It is a junction number, because it is equal to n+sod(n) for n = 10001149977 and 10001150004.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15457405 + ... + 15458051.

It is an arithmetic number, because the mean of its divisors is an integer number (139244832).

Almost surely, 2^10001150016 is an apocalyptic number.

10001150016 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 10001150016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15595421184).

10001150016 is an abundant number, since it is smaller than the sum of its proper divisors (21189692352).

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

10001150016 is a wasteful number, since it uses less digits than its factorization.

10001150016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1249 (or 1239 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 15.

Adding to 10001150016 its reverse (61005110001), we get a palindrome (71006260017).

The spelling of 10001150016 in words is "ten billion, one million, one hundred fifty thousand, sixteen".