1000000000001 has 8 divisors (see below), whose sum is σ = 1021097900424. Its totient is φ = 979102080000.

The previous prime is 999999999989. The next prime is 1000000000039.

1000000000001 is nontrivially palindromic in base 10.

It is a Cunningham number, because it is equal to 10¹²+1.

It can be written as a sum of positive squares in 4 ways, for example, as 567647723776 + 432352276225 = 753424^2 + 657535^2 .

It is a sliding number, since 1000000000001 = 1 + 1000000000000 and 1/1 + 1/1000000000000 = 1.000000000001.

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 1000000000001 - 2⁶ = 999999999937 is a prime.

1000000000001 is a strobogrammatic number because it is the same when read upside-down.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 999999999910 and 1000000000000.

It is not an unprimeable number, because it can be changed into a prime (1000000000061) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 49985000 + ... + 50005001.

It is an arithmetic number, because the mean of its divisors is an integer number (127637237553).

Almost surely, 2^{1000000000001} is an apocalyptic number.

It is an amenable number.

1000000000001 is a deficient number, since it is larger than the sum of its proper divisors (21097900423).

1000000000001 is an equidigital number, since it uses as much as digits as its factorization.

1000000000001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99990211.

The product of its (nonzero) digits is 1, while the sum is 2.

It can be divided in two parts, 100000000000 and 1, that added together give a palindrome (100000000001).

The spelling of 1000000000001 in words is "one trillion, one", and thus it is an aban number and an uban number.