100010001108 has 48 divisors (see below), whose sum is σ = 246009544704. Its totient is φ = 31574874720.

The previous prime is 100010001103. The next prime is 100010001121. The reversal of 100010001108 is 801100010001.

It is a happy number.

It is a super-2 number, since 2×100010001108² (a number of 23 digits) contains 22 as substring.

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 = 100010001093 and 100010001102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100010001101) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 2842560 + ... + 2877527.

It is an arithmetic number, because the mean of its divisors is an integer number (5125198848).

Almost surely, 2^100010001108 is an apocalyptic number.

It is an amenable number.

100010001108 is an abundant number, since it is smaller than the sum of its proper divisors (145999543596).

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

100010001108 is a wasteful number, since it uses less digits than its factorization.

100010001108 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5720172 (or 5720170 counting only the distinct ones).

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

Adding to 100010001108 its reverse (801100010001), we get a palindrome (901110011109).

The spelling of 100010001108 in words is "one hundred billion, ten million, one thousand, one hundred eight".