1001001100200 has 48 divisors (see below), whose sum is σ = 3103103412480. Its totient is φ = 266933626560.

The previous prime is 1001001100181. The next prime is 1001001100207. The reversal of 1001001100200 is 20011001001.

It is a super-2 number, since 2×1001001100200² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (6).

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

It is not an unprimeable number, because it can be changed into a prime (1001001100207) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 834166984 + ... + 834168183.

It is an arithmetic number, because the mean of its divisors is an integer number (64647987760).

Almost surely, 2^{1001001100200} is an apocalyptic number.

1001001100200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1001001100200 is an abundant number, since it is smaller than the sum of its proper divisors (2102102312280).

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

1001001100200 is a wasteful number, since it uses less digits than its factorization.

1001001100200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1668335186 (or 1668335177 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 6.

Adding to 1001001100200 its reverse (20011001001), we get a palindrome (1021012101201).

The spelling of 1001001100200 in words is "one trillion, one billion, one million, one hundred thousand, two hundred".