10000110100001 has 4 divisors (see below), whose sum is σ = 11428697257152. Its totient is φ = 8571522942852.

The previous prime is 10000110099983. The next prime is 10000110100027. The reversal of 10000110100001 is 10000101100001.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10000110100001 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (10000110100091) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 714293578565 + ... + 714293578578.

It is an arithmetic number, because the mean of its divisors is an integer number (2857174314288).

Almost surely, 2^{10000110100001} is an apocalyptic number.

It is an amenable number.

10000110100001 is a deficient number, since it is larger than the sum of its proper divisors (1428587157151).

10000110100001 is an equidigital number, since it uses as much as digits as its factorization.

10000110100001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1428587157150.

The product of its (nonzero) digits is 1, while the sum is 5.

Adding to 10000110100001 its reverse (10000101100001), we get a palindrome (20000211200002).

Subtracting from 10000110100001 its reverse (10000101100001), we obtain a square (9000000 = 3000²).

The spelling of 10000110100001 in words is "ten trillion, one hundred ten million, one hundred thousand, one".