101000010001 has 8 divisors (see below), whose sum is σ = 112526123904. Its totient is φ = 89864611920.

The previous prime is 101000009983. The next prime is 101000010017. The reversal of 101000010001 is 100010000101.

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 101000010001 - 2⁹ = 101000009489 is a prime.

It is a Duffinian number.

101000010001 is a modest number, since divided by 10001 gives 1010 as remainder.

It is not an unprimeable number, because it can be changed into a prime (101000010401) 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, 97678410 + ... + 97679443.

It is an arithmetic number, because the mean of its divisors is an integer number (14065765488).

Almost surely, 2^101000010001 is an apocalyptic number.

101000010001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101000010001 is a deficient number, since it is larger than the sum of its proper divisors (11526113903).

101000010001 is a wasteful number, since it uses less digits than its factorization.

101000010001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195357911.

The product of its (nonzero) digits is 1, while the sum is 4.

Adding to 101000010001 its reverse (100010000101), we get a palindrome (201010010102).

The spelling of 101000010001 in words is "one hundred one billion, ten thousand, one".