100001011001 has 32 divisors (see below), whose sum is σ = 104978700288. Its totient is φ = 95181609600.

The previous prime is 100001010973. The next prime is 100001011007. The reversal of 100001011001 is 100110100001.

It is a cyclic number.

It is not a de Polignac number, because 100001011001 - 2⁶ = 100001010937 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100001011007) 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 31 ways as a sum of consecutive naturals, for example, 198808916 + ... + 198809418.

It is an arithmetic number, because the mean of its divisors is an integer number (3280584384).

Almost surely, 2^100001011001 is an apocalyptic number.

It is an amenable number.

100001011001 is a deficient number, since it is larger than the sum of its proper divisors (4977689287).

100001011001 is a wasteful number, since it uses less digits than its factorization.

100001011001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1221.

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

Adding to 100001011001 its reverse (100110100001), we get a palindrome (200111111002).

The spelling of 100001011001 in words is "one hundred billion, one million, eleven thousand, one".