10100001110001 has 96 divisors (see below), whose sum is σ = 16094328566400. Its totient is φ = 5567751475200.

The previous prime is 10100001109999. The next prime is 10100001110009. The reversal of 10100001110001 is 10001110000101.

It is not a de Polignac number, because 10100001110001 - 2¹ = 10100001109999 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10100001110009) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 114389211 + ... + 114477471.

It is an arithmetic number, because the mean of its divisors is an integer number (167649255900).

Almost surely, 2^{10100001110001} is an apocalyptic number.

10100001110001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10100001110001 is a deficient number, since it is larger than the sum of its proper divisors (5994327456399).

10100001110001 is a wasteful number, since it uses less digits than its factorization.

10100001110001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88515 (or 88478 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 6.

Adding to 10100001110001 its reverse (10001110000101), we get a palindrome (20101111110102).

The spelling of 10100001110001 in words is "ten trillion, one hundred billion, one million, one hundred ten thousand, one".