100200111000001 has 4 divisors (see below), whose sum is σ = 100637666070100. Its totient is φ = 99762555929904.

The previous prime is 100200110999987. The next prime is 100200111000043. The reversal of 100200111000001 is 100000111002001.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 89742655027600 + 10457455972401 = 9473260^2 + 3233799^2 .

It is a cyclic number.

It is not a de Polignac number, because 100200111000001 - 2⁷ = 100200110999873 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100200111000401) 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 3 ways as a sum of consecutive naturals, for example, 218777534706 + ... + 218777535163.

It is an arithmetic number, because the mean of its divisors is an integer number (25159416517525).

Almost surely, 2^{100200111000001} is an apocalyptic number.

It is an amenable number.

100200111000001 is a deficient number, since it is larger than the sum of its proper divisors (437555070099).

100200111000001 is an equidigital number, since it uses as much as digits as its factorization.

100200111000001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 437555070098.

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

Adding to 100200111000001 its reverse (100000111002001), we get a palindrome (200200222002002).

The spelling of 100200111000001 in words is "one hundred trillion, two hundred billion, one hundred eleven million, one", and thus it is an aban number.