100000001001 has 8 divisors (see below), whose sum is σ = 133413325344. Its totient is φ = 66626672000.

The previous prime is 100000000951. The next prime is 100000001009. The reversal of 100000001001 is 100100000001.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 100000001001 - 2¹⁰ = 99999999977 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (3).

It is not an unprimeable number, because it can be changed into a prime (100000001009) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9993000 + ... + 10003001.

It is an arithmetic number, because the mean of its divisors is an integer number (16676665668).

Almost surely, 2^100000001001 is an apocalyptic number.

It is an amenable number.

100000001001 is a deficient number, since it is larger than the sum of its proper divisors (33413324343).

100000001001 is a wasteful number, since it uses less digits than its factorization.

100000001001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19997671.

The product of its (nonzero) digits is 1, while the sum is 3.

Adding to 100000001001 its reverse (100100000001), we get a palindrome (200100001002).

The spelling of 100000001001 in words is "one hundred billion, one thousand, one".