1000101000108 has 96 divisors (see below), whose sum is σ = 2724014361600. Its totient is φ = 285464780160.

The previous prime is 1000101000061. The next prime is 1000101000139. The reversal of 1000101000108 is 8010001010001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 1000101000093 and 1000101000102.

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, 4125760 + ... + 4361432.

It is an arithmetic number, because the mean of its divisors is an integer number (28375149600).

Almost surely, 2^{1000101000108} 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 1000101000108, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1362007180800).

1000101000108 is an abundant number, since it is smaller than the sum of its proper divisors (1723913361492).

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

1000101000108 is a wasteful number, since it uses less digits than its factorization.

1000101000108 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236732 (or 236716 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 1000101000108 its reverse (8010001010001), we get a palindrome (9010102010109).

The spelling of 1000101000108 in words is "one trillion, one hundred one million, one hundred eight", and thus it is an aban number.