10000010110001 has 16 divisors (see below), whose sum is σ = 10544786461440. Its totient is φ = 9457081931520.

The previous prime is 10000010109941. The next prime is 10000010110019. The reversal of 10000010110001 is 10001101000001.

It is a cyclic number.

It is not a de Polignac number, because 10000010110001 - 2¹⁴ = 10000010093617 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10000010110081) 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, 316710851 + ... + 316742423.

It is an arithmetic number, because the mean of its divisors is an integer number (659049153840).

Almost surely, 2^{10000010110001} is an apocalyptic number.

It is an amenable number.

10000010110001 is a deficient number, since it is larger than the sum of its proper divisors (544776351439).

10000010110001 is a wasteful number, since it uses less digits than its factorization.

10000010110001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60296.

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

Adding to 10000010110001 its reverse (10001101000001), we get a palindrome (20001111110002).

The spelling of 10000010110001 in words is "ten trillion, ten million, one hundred ten thousand, one".