1100001000100 has 36 divisors (see below), whose sum is σ = 2388409139844. Its totient is φ = 439741050880.

The previous prime is 1100001000031. The next prime is 1100001000113. The reversal of 1100001000100 is 10001000011.

It can be written as a sum of positive squares in 6 ways, for example, as 7006024804 + 1092994975296 = 83702^2 + 1045464^2 .

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

1100001000100 is a modest number, since divided by 1000100 gives 11000 as remainder.

It is a self number, because there is not a number n which added to its sum of digits gives 1100001000100.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3071317 + ... + 3410716.

It is an arithmetic number, because the mean of its divisors is an integer number (66344698329).

Almost surely, 2^{1100001000100} is an apocalyptic number.

1100001000100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1100001000100 is an abundant number, since it is smaller than the sum of its proper divisors (1288408139744).

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

1100001000100 is a wasteful number, since it uses less digits than its factorization.

1100001000100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6483744 (or 6483737 counting only the distinct ones).

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

Adding to 1100001000100 its reverse (10001000011), we get a palindrome (1110002000111).

The spelling of 1100001000100 in words is "one trillion, one hundred billion, one million, one hundred", and thus it is an aban number.