210011100001 has 8 divisors (see below), whose sum is σ = 217275575400. Its totient is φ = 202748138880.

The previous prime is 210011099981. The next prime is 210011100017. The reversal of 210011100001 is 100001110012.

It can be written as a sum of positive squares in 4 ways, for example, as 10894349376 + 199116750625 = 104376^2 + 446225^2 .

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 210011100001 - 2⁷ = 210011099873 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (210011106001) 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, 92730 + ... + 654691.

It is an arithmetic number, because the mean of its divisors is an integer number (27159446925).

Almost surely, 2^210011100001 is an apocalyptic number.

It is an amenable number.

210011100001 is a deficient number, since it is larger than the sum of its proper divisors (7264475399).

210011100001 is an equidigital number, since it uses as much as digits as its factorization.

210011100001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 757139.

The product of its (nonzero) digits is 2, while the sum is 7.

Adding to 210011100001 its reverse (100001110012), we get a palindrome (310012210013).

The spelling of 210011100001 in words is "two hundred ten billion, eleven million, one hundred thousand, one".