1000001001100 has 72 divisors (see below), whose sum is σ = 2305492314048. Its totient is φ = 375185894400.

The previous prime is 1000001001091. The next prime is 1000001001107. The reversal of 1000001001100 is 11001000001.

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 1000001001100.

It is not an unprimeable number, because it can be changed into a prime (1000001001107) 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, 505716 + ... + 1501915.

It is an arithmetic number, because the mean of its divisors is an integer number (32020726584).

Almost surely, 2^{1000001001100} is an apocalyptic number.

1000001001100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1000001001100 is an abundant number, since it is smaller than the sum of its proper divisors (1305491312948).

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

1000001001100 is a wasteful number, since it uses less digits than its factorization.

1000001001100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2007955 (or 2007948 counting only the distinct ones).

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

Adding to 1000001001100 its reverse (11001000001), we get a palindrome (1011002001101).

The spelling of 1000001001100 in words is "one trillion, one million, one thousand, one hundred".