10000101000101 has 8 divisors (see below), whose sum is σ = 10347095066880. Its totient is φ = 9653251133232.

The previous prime is 10000101000079. The next prime is 10000101000107. The reversal of 10000101000101 is 10100010100001.

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10000101000101 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 (10000101000107) 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, 35908865 + ... + 36186278.

It is an arithmetic number, because the mean of its divisors is an integer number (1293386883360).

Almost surely, 2^{10000101000101} is an apocalyptic number.

It is an amenable number.

10000101000101 is a deficient number, since it is larger than the sum of its proper divisors (346994066779).

10000101000101 is an equidigital number, since it uses as much as digits as its factorization.

10000101000101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72099955.

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

Adding to 10000101000101 its reverse (10100010100001), we get a palindrome (20100111100102).

It can be divided in two parts, 10000 and 101000101, that added together give a palindrome (101010101).

The spelling of 10000101000101 in words is "ten trillion, one hundred one million, one hundred one", and thus it is an aban number.