1001100200201 has 8 divisors (see below), whose sum is σ = 1004048627400. Its totient is φ = 998152230528.

The previous prime is 1001100200101. The next prime is 1001100200209. The reversal of 1001100200201 is 1020020011001.

It can be written as a sum of positive squares in 4 ways, for example, as 102729865225 + 898370334976 = 320515^2 + 947824^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1001100200201 - 2³⁸ = 726222293257 is a prime.

It is a super-2 number, since 2×1001100200201² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1001100200209) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 4547075 + ... + 4762151.

It is an arithmetic number, because the mean of its divisors is an integer number (125506078425).

Almost surely, 2^{1001100200201} is an apocalyptic number.

It is an amenable number.

1001100200201 is a deficient number, since it is larger than the sum of its proper divisors (2948427199).

1001100200201 is a wasteful number, since it uses less digits than its factorization.

1001100200201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228763.

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 1001100200201 its reverse (1020020011001), we get a palindrome (2021120211202).

The spelling of 1001100200201 in words is "one trillion, one billion, one hundred million, two hundred thousand, two hundred one".