10000000000001 has 8 divisors (see below), whose sum is σ = 10921790676000. Its totient is φ = 9080325951840.

The previous prime is 9999999999971. The next prime is 10000000000037.

10000000000001 is nontrivially palindromic in base 10.

It is a Cunningham number, because it is equal to 10¹³+1.

It is a sliding number, since 10000000000001 = 1 + 10000000000000 and 1/1 + 1/10000000000000 = 1.0000000000001.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 10000000000001 - 2¹⁰ = 9999999998977 is a prime.

10000000000001 is a strobogrammatic number because it is the same when read upside-down.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 9999999999892, 9999999999901 and 10000000000000.

It is not an unprimeable number, because it can be changed into a prime (10000000000051) 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, 529147076 + ... + 529165973.

It is an arithmetic number, because the mean of its divisors is an integer number (1365223834500).

Almost surely, 2^{10000000000001} is an apocalyptic number.

10000000000001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10000000000001 is a deficient number, since it is larger than the sum of its proper divisors (921790675999).

10000000000001 is a wasteful number, since it uses less digits than its factorization.

10000000000001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1058313919.

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

It can be divided in two parts, 1000000000000 and 1, that added together give a palindrome (1000000000001).

The spelling of 10000000000001 in words is "ten trillion, one", and thus it is an aban number and an uban number.