10001006110008 has 128 divisors (see below), whose sum is σ = 29247750912000. Its totient is φ = 3157667815680.

The previous prime is 10001006109979. The next prime is 10001006110033. The reversal of 10001006110008 is 80001160010001.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

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, 23928441 + ... + 24342807.

It is an arithmetic number, because the mean of its divisors is an integer number (228498054000).

Almost surely, 2^{10001006110008} is an apocalyptic number.

10001006110008 is a gapful number since it is divisible by the number (18) 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 10001006110008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14623875456000).

10001006110008 is an abundant number, since it is smaller than the sum of its proper divisors (19246744801992).

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

10001006110008 is a wasteful number, since it uses less digits than its factorization.

10001006110008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 420282 (or 420272 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 18.

Adding to 10001006110008 its reverse (80001160010001), we get a palindrome (90002166120009).

The spelling of 10001006110008 in words is "ten trillion, one billion, six million, one hundred ten thousand, eight".