10010000100001 has 8 divisors (see below), whose sum is σ = 10930410036000. Its totient is φ = 9091325151840.

The previous prime is 10010000099987. The next prime is 10010000100011. The reversal of 10010000100001 is 10000100001001.

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 10010000100001 - 2¹⁷ = 10009999968929 is a prime.

It is a Duffinian number.

10010000100001 is a modest number, since divided by 100001 gives 1001 as remainder.

It is not an unprimeable number, because it can be changed into a prime (10010000100011) 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, 433734891 + ... + 433757968.

It is an arithmetic number, because the mean of its divisors is an integer number (1366301254500).

Almost surely, 2^{10010000100001} is an apocalyptic number.

10010000100001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10010000100001 is a deficient number, since it is larger than the sum of its proper divisors (920409935999).

10010000100001 is a wasteful number, since it uses less digits than its factorization.

10010000100001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 867493919.

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

Adding to 10010000100001 its reverse (10000100001001), we get a palindrome (20010100101002).

The spelling of 10010000100001 in words is "ten trillion, ten billion, one hundred thousand, one".