10000010000101 has 16 divisors (see below), whose sum is σ = 11018700330048. Its totient is φ = 8999612032000.

The previous prime is 10000010000081. The next prime is 10000010000111. The reversal of 10000010000101 is 10100001000001.

It is a cyclic number.

It is not a de Polignac number, because 10000010000101 - 2²³ = 10000001611493 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 (10000010000111) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7106406 + ... + 8396488.

It is an arithmetic number, because the mean of its divisors is an integer number (688668770628).

Almost surely, 2^{10000010000101} is an apocalyptic number.

10000010000101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10000010000101 is a deficient number, since it is larger than the sum of its proper divisors (1018690329947).

10000010000101 is a wasteful number, since it uses less digits than its factorization.

10000010000101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1297172.

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

Adding to 10000010000101 its reverse (10100001000001), we get a palindrome (20100011000102).

It can be divided in two parts, 100000 and 10000101, that added together give a palindrome (10100101).

The spelling of 10000010000101 in words is "ten trillion, ten million, one hundred one", and thus it is an aban number.