10000100000101 has 8 divisors (see below), whose sum is σ = 10345271815424. Its totient is φ = 9656339931360.

The previous prime is 10000100000047. The next prime is 10000100000153. The reversal of 10000100000101 is 10100000100001.

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 10000100000101 - 2³⁷ = 9862661046629 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10000100000701) 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, 352922235 + ... + 352950568.

It is an arithmetic number, because the mean of its divisors is an integer number (1293158976928).

Almost surely, 2^{10000100000101} is an apocalyptic number.

It is an amenable number.

10000100000101 is a deficient number, since it is larger than the sum of its proper divisors (345171815323).

10000100000101 is an equidigital number, since it uses as much as digits as its factorization.

10000100000101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 705873291.

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

Adding to 10000100000101 its reverse (10100000100001), we get a palindrome (20100100100102).

The spelling of 10000100000101 in words is "ten trillion, one hundred million, one hundred one", and thus it is an aban number.