100100001000100 has 18 divisors (see below), whose sum is σ = 217217002170434. Its totient is φ = 40040000400000.

The previous prime is 100100001000089. The next prime is 100100001000217. The reversal of 100100001000100 is 1000100001001.

It can be written as a sum of positive squares in 3 ways, for example, as 32242046091264 + 67857954908836 = 5678208^2 + 8237594^2 .

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 100100001000100.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 500500004901 + ... + 500500005100.

Almost surely, 2^{100100001000100} is an apocalyptic number.

100100001000100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100100001000100 is an abundant number, since it is smaller than the sum of its proper divisors (117117001170334).

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

100100001000100 is a wasteful number, since it uses less digits than its factorization.

100100001000100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1001000010015 (or 1001000010008 counting only the distinct ones).

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

Adding to 100100001000100 its reverse (1000100001001), we get a palindrome (101100101001101).

Subtracting from 100100001000100 its reverse (1000100001001), we obtain a palindrome (99099900999099).

The spelling of 100100001000100 in words is "one hundred trillion, one hundred billion, one million, one hundred", and thus it is an aban number.