100002000000001 has 4 divisors (see below), whose sum is σ = 109093090909104. Its totient is φ = 90910909090900.

The previous prime is 100001999999983. The next prime is 100002000000047. The reversal of 100002000000001 is 100000000200001.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 100002000000001 - 2²³ = 100001991611393 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100002000006001) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4545545454535 + ... + 4545545454556.

It is an arithmetic number, because the mean of its divisors is an integer number (27273272727276).

Almost surely, 2^{100002000000001} is an apocalyptic number.

100002000000001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100002000000001 is a deficient number, since it is larger than the sum of its proper divisors (9091090909103).

100002000000001 is an equidigital number, since it uses as much as digits as its factorization.

100002000000001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9091090909102.

The product of its (nonzero) digits is 2, while the sum is 4.

Adding to 100002000000001 its reverse (100000000200001), we get a palindrome (200002000200002).

The spelling of 100002000000001 in words is "one hundred trillion, two billion, one", and thus it is an aban number.