10000110000001 has 8 divisors (see below), whose sum is σ = 10909836324000. Its totient is φ = 9090487911840.

The previous prime is 10000109999981. The next prime is 10000110000017. The reversal of 10000110000001 is 10000001100001.

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 10000110000001 - 2¹¹ = 10000109997953 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10000110000071) 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, 25858291 + ... + 26242168.

It is an arithmetic number, because the mean of its divisors is an integer number (1363729540500).

Almost surely, 2^{10000110000001} is an apocalyptic number.

10000110000001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10000110000001 is a deficient number, since it is larger than the sum of its proper divisors (909726323999).

10000110000001 is a wasteful number, since it uses less digits than its factorization.

10000110000001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52117919.

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

Adding to 10000110000001 its reverse (10000001100001), we get a palindrome (20000111100002).

It can be divided in two parts, 100001 and 10000001, that multiplied together give a palindrome (1000010100001).

The spelling of 10000110000001 in words is "ten trillion, one hundred ten million, one", and thus it is an aban number.