10010100000001 has 8 divisors (see below), whose sum is σ = 10356544048320. Its totient is φ = 9663740497488.

The previous prime is 10010099999989. The next prime is 10010100000041. The reversal of 10010100000001 is 10000000101001.

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 10010100000001 - 2⁹ = 10010099999489 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10010100000041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20895511 + ... + 21369196.

It is an arithmetic number, because the mean of its divisors is an integer number (1294568006040).

Almost surely, 2^{10010100000001} is an apocalyptic number.

It is an amenable number.

10010100000001 is a deficient number, since it is larger than the sum of its proper divisors (346444048319).

10010100000001 is an equidigital number, since it uses as much as digits as its factorization.

10010100000001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42272903.

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

Adding to 10010100000001 its reverse (10000000101001), we get a palindrome (20010100101002).

It can be divided in two parts, 100 and 10100000001, that added together give a palindrome (10100000101).

The spelling of 10010100000001 in words is "ten trillion, ten billion, one hundred million, one", and thus it is an aban number.