10010001000101 has 32 divisors (see below), whose sum is σ = 10806970613760. Its totient is φ = 9248604640704.

The previous prime is 10010001000089. The next prime is 10010001000107. The reversal of 10010001000101 is 10100010001001.

It is a de Polignac number, because none of the positive numbers 2^k-10010001000101 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10010001000107) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 217146611 + ... + 217192703.

It is an arithmetic number, because the mean of its divisors is an integer number (337717831680).

Almost surely, 2^{10010001000101} is an apocalyptic number.

It is an amenable number.

10010001000101 is a deficient number, since it is larger than the sum of its proper divisors (796969613659).

10010001000101 is a wasteful number, since it uses less digits than its factorization.

10010001000101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48785.

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

Adding to 10010001000101 its reverse (10100010001001), we get a palindrome (20110011001102).

The spelling of 10010001000101 in words is "ten trillion, ten billion, one million, one hundred one", and thus it is an aban number.