10010000101108 has 96 divisors (see below), whose sum is σ = 21100860039168. Its totient is φ = 4064549673600.

The previous prime is 10010000101099. The next prime is 10010000101111. The reversal of 10010000101108 is 80110100001001.

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 31 ways as a sum of consecutive naturals, for example, 21250903 + ... + 21716833.

It is an arithmetic number, because the mean of its divisors is an integer number (219800625408).

Almost surely, 2^{10010000101108} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10010000101108, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10550430019584).

10010000101108 is an abundant number, since it is smaller than the sum of its proper divisors (11090859938060).

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

10010000101108 is a wasteful number, since it uses less digits than its factorization.

10010000101108 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 466493 (or 466491 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 10010000101108 its reverse (80110100001001), we get a palindrome (90120100102109).

The spelling of 10010000101108 in words is "ten trillion, ten billion, one hundred one thousand, one hundred eight".