10001100101 has 4 divisors (see below), whose sum is σ = 10067332704. Its totient is φ = 9934867500.

The previous prime is 10001100059. The next prime is 10001100103. The reversal of 10001100101 is 10100110001.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 10001100101 - 2¹⁰ = 10001099077 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 (10001100103) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 33116075 + ... + 33116376.

It is an arithmetic number, because the mean of its divisors is an integer number (2516833176).

Almost surely, 2^10001100101 is an apocalyptic number.

It is an amenable number.

10001100101 is a deficient number, since it is larger than the sum of its proper divisors (66232603).

10001100101 is an equidigital number, since it uses as much as digits as its factorization.

10001100101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66232602.

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

Adding to 10001100101 its reverse (10100110001), we get a palindrome (20101210102).

The spelling of 10001100101 in words is "ten billion, one million, one hundred thousand, one hundred one".