1001010005101 has 4 divisors (see below), whose sum is σ = 1008316647612. Its totient is φ = 993703362592.

The previous prime is 1001010005029. The next prime is 1001010005113. The reversal of 1001010005101 is 1015000101001.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 380497754025 + 620512251076 = 616845^2 + 787726^2 .

It is not a de Polignac number, because 1001010005101 - 2¹⁹ = 1001009480813 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 (1001010005701) 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 3 ways as a sum of consecutive naturals, for example, 3653321050 + ... + 3653321323.

It is an arithmetic number, because the mean of its divisors is an integer number (252079161903).

Almost surely, 2^{1001010005101} is an apocalyptic number.

It is an amenable number.

1001010005101 is a deficient number, since it is larger than the sum of its proper divisors (7306642511).

1001010005101 is an equidigital number, since it uses as much as digits as its factorization.

1001010005101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7306642510.

The product of its (nonzero) digits is 5, while the sum is 10.

Adding to 1001010005101 its reverse (1015000101001), we get a palindrome (2016010106102).

The spelling of 1001010005101 in words is "one trillion, one billion, ten million, five thousand, one hundred one".