2000100101 has 4 divisors (see below), whose sum is σ = 2069069100. Its totient is φ = 1931131104.

The previous prime is 2000100097. The next prime is 2000100131. The reversal of 2000100101 is 1010010002.

It is a happy number.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 1010010002 = 2 ⋅505005001.

It can be written as a sum of positive squares in 2 ways, for example, as 1344688900 + 655411201 = 36670^2 + 25601^2 .

It is a cyclic number.

It is not a de Polignac number, because 2000100101 - 2² = 2000100097 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 (2000100131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 34484456 + ... + 34484513.

It is an arithmetic number, because the mean of its divisors is an integer number (517267275).

Almost surely, 2^2000100101 is an apocalyptic number.

It is an amenable number.

2000100101 is a deficient number, since it is larger than the sum of its proper divisors (68968999).

2000100101 is an equidigital number, since it uses as much as digits as its factorization.

2000100101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68968998.

The product of its (nonzero) digits is 2, while the sum is 5.

The square root of 2000100101 is about 44722.4786991956. The cubic root of 2000100101 is about 1259.9420694370.

Adding to 2000100101 its reverse (1010010002), we get a palindrome (3010110103).

Subtracting from 2000100101 its reverse (1010010002), we obtain a palindrome (990090099).

The spelling of 2000100101 in words is "two billion, one hundred thousand, one hundred one".