1010000000101 has 12 divisors (see below), whose sum is σ = 1020423585412. Its totient is φ = 999681840000.

The previous prime is 1010000000083. The next prime is 1010000000143.

1010000000101 is nontrivially palindromic in base 10.

1010000000101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 156538131201 + 853461868900 = 395649^2 + 923830^2 .

It is not a de Polignac number, because 1010000000101 - 2¹¹ = 1009999998053 is a prime.

1010000000101 is a strobogrammatic number because it is the same when read upside-down.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1010000000501) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 36107761 + ... + 36135721.

Almost surely, 2^{1010000000101} is an apocalyptic number.

It is an amenable number.

1010000000101 is a deficient number, since it is larger than the sum of its proper divisors (10423585311).

1010000000101 is an equidigital number, since it uses as much as digits as its factorization.

1010000000101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31704 (or 31603 counting only the distinct ones).

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

It can be divided in two parts, 1010000000 and 101, that added together give a palindrome (1010000101).

The spelling of 1010000000101 in words is "one trillion, ten billion, one hundred one", and thus it is an aban number.