10100000010001 has 4 divisors (see below), whose sum is σ = 11018181829104. Its totient is φ = 9181818190900.

The previous prime is 10100000009993. The next prime is 10100000010013. The reversal of 10100000010001 is 10001000000101.

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 10100000010001 - 2³ = 10100000009993 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10100000010031) 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, 459090909535 + ... + 459090909556.

It is an arithmetic number, because the mean of its divisors is an integer number (2754545457276).

Almost surely, 2^{10100000010001} is an apocalyptic number.

10100000010001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10100000010001 is a deficient number, since it is larger than the sum of its proper divisors (918181819103).

10100000010001 is an equidigital number, since it uses as much as digits as its factorization.

10100000010001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 918181819102.

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

Adding to 10100000010001 its reverse (10001000000101), we get a palindrome (20101000010102).

The spelling of 10100000010001 in words is "ten trillion, one hundred billion, ten thousand, one".