10000100101001 has 8 divisors (see below), whose sum is σ = 10120843676160. Its totient is φ = 9879362726992.

The previous prime is 10000100100959. The next prime is 10000100101027. The reversal of 10000100101001 is 10010100100001.

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 10000100101001 - 2¹⁴ = 10000100084617 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10000100101051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1736231 + ... + 4797363.

It is an arithmetic number, because the mean of its divisors is an integer number (1265105459520).

Almost surely, 2^{10000100101001} is an apocalyptic number.

It is an amenable number.

10000100101001 is a deficient number, since it is larger than the sum of its proper divisors (120743575159).

10000100101001 is an equidigital number, since it uses as much as digits as its factorization.

10000100101001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3100575.

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

Adding to 10000100101001 its reverse (10010100100001), we get a palindrome (20010200201002).

It can be divided in two parts, 10000 and 100101001, that added together give a palindrome (100111001).

The spelling of 10000100101001 in words is "ten trillion, one hundred million, one hundred one thousand, one".