100101010000001 has 16 divisors (see below), whose sum is σ = 104672663424000. Its totient is φ = 95547685730640.

The previous prime is 100101009999997. The next prime is 100101010000087. The reversal of 100101010000001 is 100000010101001.

It is not a de Polignac number, because 100101010000001 - 2² = 100101009999997 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 100101010000001.

It is not an unprimeable number, because it can be changed into a prime (100101010000091) 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 15 ways as a sum of consecutive naturals, for example, 103303250 + ... + 104267748.

It is an arithmetic number, because the mean of its divisors is an integer number (6542041464000).

Almost surely, 2^{100101010000001} is an apocalyptic number.

It is an amenable number.

100101010000001 is a deficient number, since it is larger than the sum of its proper divisors (4571653423999).

100101010000001 is an equidigital number, since it uses as much as digits as its factorization.

100101010000001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 973996.

The product of its (nonzero) digits is 1, while the sum is 5.

Adding to 100101010000001 its reverse (100000010101001), we get a palindrome (200101020101002).

The spelling of 100101010000001 in words is "one hundred trillion, one hundred one billion, ten million, one", and thus it is an aban number.