10100001100001 has 8 divisors (see below), whose sum is σ = 10213676411904. Its totient is φ = 9986959077280.

The previous prime is 10100001099967. The next prime is 10100001100019. The reversal of 10100001100001 is 10000110000101.

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

It is a cyclic number.

It is not a de Polignac number, because 10100001100001 - 2¹⁰ = 10100001098977 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 (10100001100061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 158290220 + ... + 158354013.

It is an arithmetic number, because the mean of its divisors is an integer number (1276709551488).

Almost surely, 2^{10100001100001} is an apocalyptic number.

It is an amenable number.

10100001100001 is a deficient number, since it is larger than the sum of its proper divisors (113675311903).

10100001100001 is a wasteful number, since it uses less digits than its factorization.

10100001100001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 316644591.

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

Adding to 10100001100001 its reverse (10000110000101), we get a palindrome (20100111100102).

The spelling of 10100001100001 in words is "ten trillion, one hundred billion, one million, one hundred thousand, one".