100001011101001 has 16 divisors (see below), whose sum is σ = 105936286368960. Its totient is φ = 94132960384320.

The previous prime is 100001011100989. The next prime is 100001011101071. The reversal of 100001011101001 is 100101110100001.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 100001011101001 - 2⁷ = 100001011100873 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100001011101071) 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, 235268670 + ... + 235693336.

It is an arithmetic number, because the mean of its divisors is an integer number (6621017898060).

Almost surely, 2^{100001011101001} is an apocalyptic number.

It is an amenable number.

100001011101001 is a deficient number, since it is larger than the sum of its proper divisors (5935275267959).

100001011101001 is a wasteful number, since it uses less digits than its factorization.

100001011101001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 503784.

The product of its (nonzero) digits is 1, while the sum is 7.

Adding to 100001011101001 its reverse (100101110100001), we get a palindrome (200102121201002).

The spelling of 100001011101001 in words is "one hundred trillion, one billion, eleven million, one hundred one thousand, one".