1000001100 has 144 divisors (see below), whose sum is σ = 3413559296. Its totient is φ = 221184000.

The previous prime is 1000001099. The next prime is 1000001137. The reversal of 1000001100 is 11000001.

It is a Harshad number since it is a multiple of its sum of digits (3).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

1000001100 is a modest number, since divided by 1100 gives 1000 as remainder.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 57420 + ... + 72780.

Almost surely, 2^1000001100 is an apocalyptic number.

1000001100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1000001100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1706779648).

1000001100 is an abundant number, since it is smaller than the sum of its proper divisors (2413558196).

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

1000001100 is a wasteful number, since it uses less digits than its factorization.

1000001100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15416 (or 15409 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 3.

The square root of 1000001100 is about 31622.7939942061. The cubic root of 1000001100 is about 1000.0003666665. Note that the first 3 decimals are identical.

Adding to 1000001100 its reverse (11000001), we get a palindrome (1011001101).

The spelling of 1000001100 in words is "one billion, one thousand, one hundred".