2000101 has 8 divisors (see below), whose sum is σ = 2191320. Its totient is φ = 1817088.

The previous prime is 2000093. The next prime is 2000107. The reversal of 2000101 is 1010002.

It can be written as a sum of positive squares in 4 ways, for example, as 562500 + 1437601 = 750^2 + 1199^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 2000101 - 2³ = 2000093 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 (2000107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1536 + ... + 2521.

It is an arithmetic number, because the mean of its divisors is an integer number (273915).

2^2000101 is an apocalyptic number.

It is an amenable number.

2000101 is a deficient number, since it is larger than the sum of its proper divisors (191219).

2000101 is a wasteful number, since it uses less digits than its factorization.

2000101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4103.

The product of its (nonzero) digits is 2, while the sum is 4.

The square root of 2000101 is about 1414.2492708147. The cubic root of 2000101 is about 125.9942258209.

Adding to 2000101 its reverse (1010002), we get a palindrome (3010103).

Subtracting from 2000101 its reverse (1010002), we obtain a palindrome (990099).

Multiplying 2000101 by its reverse (1010002), we get a palindrome (2020106010202).

The spelling of 2000101 in words is "two million, one hundred one", and thus it is an aban number.