1001000100101 has 4 divisors (see below), whose sum is σ = 1001680591104. Its totient is φ = 1000319609100.

The previous prime is 1001000100077. The next prime is 1001000100103. The reversal of 1001000100101 is 1010010001001.

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 1001000100101 - 2¹⁴ = 1001000083717 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1001000100103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 340243295 + ... + 340246236.

It is an arithmetic number, because the mean of its divisors is an integer number (250420147776).

Almost surely, 2^{1001000100101} is an apocalyptic number.

It is an amenable number.

1001000100101 is a deficient number, since it is larger than the sum of its proper divisors (680491003).

1001000100101 is an equidigital number, since it uses as much as digits as its factorization.

1001000100101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 680491002.

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

Adding to 1001000100101 its reverse (1010010001001), we get a palindrome (2011010101102).

The spelling of 1001000100101 in words is "one trillion, one billion, one hundred thousand, one hundred one".