10000011100001 has 8 divisors (see below), whose sum is σ = 10972435982760. Its totient is φ = 9056613825792.

The previous prime is 10000011099997. The next prime is 10000011100049. The reversal of 10000011100001 is 10000111000001.

It can be written as a sum of positive squares in 4 ways, for example, as 758076696976 + 9241934403025 = 870676^2 + 3040055^2 .

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

It is not a de Polignac number, because 10000011100001 - 2² = 10000011099997 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (10000011100301) 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, 7256901416 + ... + 7256902793.

It is an arithmetic number, because the mean of its divisors is an integer number (1371554497845).

Almost surely, 2^{10000011100001} is an apocalyptic number.

It is an amenable number.

10000011100001 is a deficient number, since it is larger than the sum of its proper divisors (972424882759).

10000011100001 is a wasteful number, since it uses less digits than its factorization.

10000011100001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14513804275.

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

Adding to 10000011100001 its reverse (10000111000001), we get a palindrome (20000122100002).

The spelling of 10000011100001 in words is "ten trillion, eleven million, one hundred thousand, one".