10000000110001 has 16 divisors (see below), whose sum is σ = 10939754803968. Its totient is φ = 9065360304000.

The previous prime is 10000000109993. The next prime is 10000000110007. The reversal of 10000000110001 is 10001100000001.

It is not a de Polignac number, because 10000000110001 - 2³ = 10000000109993 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10000000110007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 49849701 + ... + 50049901.

It is an arithmetic number, because the mean of its divisors is an integer number (683734675248).

Almost surely, 2^{10000000110001} is an apocalyptic number.

10000000110001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10000000110001 is a deficient number, since it is larger than the sum of its proper divisors (939754693967).

10000000110001 is a wasteful number, since it uses less digits than its factorization.

10000000110001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212952.

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

Adding to 10000000110001 its reverse (10001100000001), we get a palindrome (20001100110002).

It can be divided in two parts, 100000001 and 10001, that multiplied together give a palindrome (1000100010001).

The spelling of 10000000110001 in words is "ten trillion, one hundred ten thousand, one".