100001000011001 has 4 divisors (see below), whose sum is σ = 105883411776372. Its totient is φ = 94118588245632.

The previous prime is 100001000010973. The next prime is 100001000011007. The reversal of 100001000011001 is 100110000100001.

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 32799960765625 + 67201039245376 = 5727125^2 + 8197624^2 .

It is a cyclic number.

It is not a de Polignac number, because 100001000011001 - 2³⁴ = 99983820141817 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100001000011007) 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, 2941205882660 + ... + 2941205882693.

It is an arithmetic number, because the mean of its divisors is an integer number (26470852944093).

Almost surely, 2^{100001000011001} is an apocalyptic number.

It is an amenable number.

100001000011001 is a deficient number, since it is larger than the sum of its proper divisors (5882411765371).

100001000011001 is an equidigital number, since it uses as much as digits as its factorization.

100001000011001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5882411765370.

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

Adding to 100001000011001 its reverse (100110000100001), we get a palindrome (200111000111002).

It can be divided in two parts, 10000100001 and 1001, that multiplied together give a palindrome (10010100101001).

The spelling of 100001000011001 in words is "one hundred trillion, one billion, eleven thousand, one".