100101000100 has 72 divisors (see below), whose sum is σ = 217892456768. Its totient is φ = 39916540800.

The previous prime is 100101000071. The next prime is 100101000107. The reversal of 100101000100 is 1000101001.

It is a Harshad number since it is a multiple of its sum of digits (4).

It is a self number, because there is not a number n which added to its sum of digits gives 100101000100.

It is not an unprimeable number, because it can be changed into a prime (100101000107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 69177577 + ... + 69179023.

Almost surely, 2^100101000100 is an apocalyptic number.

100101000100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100101000100 is an abundant number, since it is smaller than the sum of its proper divisors (117791456668).

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

100101000100 is a wasteful number, since it uses less digits than its factorization.

100101000100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3125 (or 3118 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 4.

Adding to 100101000100 its reverse (1000101001), we get a palindrome (101101101101).

The spelling of 100101000100 in words is "one hundred billion, one hundred one million, one hundred", and thus it is an aban number.