101000100001001 has 8 divisors (see below), whose sum is σ = 103349664844800. Its totient is φ = 98650568125872.

The previous prime is 101000100000959. The next prime is 101000100001061. The reversal of 101000100001001 is 100100001000101.

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 101000100001001 - 2⁶ = 101000100000937 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101000100001061) 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, 1989326 + ... + 14351223.

It is an arithmetic number, because the mean of its divisors is an integer number (12918708105600).

Almost surely, 2^{101000100001001} is an apocalyptic number.

It is an amenable number.

101000100001001 is a deficient number, since it is larger than the sum of its proper divisors (2349564843799).

101000100001001 is a wasteful number, since it uses less digits than its factorization.

101000100001001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16484335.

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

Adding to 101000100001001 its reverse (100100001000101), we get a palindrome (201100101001102).

The spelling of 101000100001001 in words is "one hundred one trillion, one hundred million, one thousand, one".