100001010001001 has 16 divisors (see below), whose sum is σ = 101618720246400. Its totient is φ = 98395305942528.

The previous prime is 100001010000979. The next prime is 100001010001019. The reversal of 100001010001001 is 100100010100001.

It is a cyclic number.

It is not a de Polignac number, because 100001010001001 - 2⁶ = 100001010000937 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100001010001201) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 936645260 + ... + 936752018.

It is an arithmetic number, because the mean of its divisors is an integer number (6351170015400).

Almost surely, 2^{100001010001001} is an apocalyptic number.

It is an amenable number.

100001010001001 is a deficient number, since it is larger than the sum of its proper divisors (1617710245399).

100001010001001 is a wasteful number, since it uses less digits than its factorization.

100001010001001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162848.

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

Adding to 100001010001001 its reverse (100100010100001), we get a palindrome (200101020101002).

The spelling of 100001010001001 in words is "one hundred trillion, one billion, ten million, one thousand, one".