1000010000101 has 12 divisors (see below), whose sum is σ = 1231704995148. Its totient is φ = 806730755712.

The previous prime is 1000010000083. The next prime is 1000010000123. The reversal of 1000010000101 is 1010000100001.

It can be written as a sum of positive squares in 2 ways, for example, as 916863700900 + 83146299201 = 957530^2 + 288351^2 .

It is not a de Polignac number, because 1000010000101 - 2¹³ = 1000009991909 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 (1000010000161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 600245266 + ... + 600246931.

It is an arithmetic number, because the mean of its divisors is an integer number (102642082929).

Almost surely, 2^{1000010000101} is an apocalyptic number.

It is an amenable number.

1000010000101 is a deficient number, since it is larger than the sum of its proper divisors (231694995047).

1000010000101 is a wasteful number, since it uses less digits than its factorization.

1000010000101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1200492228 (or 1200492221 counting only the distinct ones).

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

Adding to 1000010000101 its reverse (1010000100001), we get a palindrome (2010010100102).

The spelling of 1000010000101 in words is "one trillion, ten million, one hundred one", and thus it is an aban number.