100001101001 has 4 divisors (see below), whose sum is σ = 100152848400. Its totient is φ = 99849353604.

The previous prime is 100001100961. The next prime is 100001101009. The reversal of 100001101001 is 100101100001.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 100001101001 - 2²² = 99996906697 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100001101009) 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, 75872711 + ... + 75874028.

It is an arithmetic number, because the mean of its divisors is an integer number (25038212100).

Almost surely, 2^100001101001 is an apocalyptic number.

It is an amenable number.

100001101001 is a deficient number, since it is larger than the sum of its proper divisors (151747399).

100001101001 is an equidigital number, since it uses as much as digits as its factorization.

100001101001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151747398.

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

Adding to 100001101001 its reverse (100101100001), we get a palindrome (200102201002).

The spelling of 100001101001 in words is "one hundred billion, one million, one hundred one thousand, one".