2005522101 has 24 divisors (see below), whose sum is σ = 3227462784. Its totient is φ = 1189604160.

The previous prime is 2005522087. The next prime is 2005522133. The reversal of 2005522101 is 1012255002.

It is not a de Polignac number, because 2005522101 - 2⁵ = 2005522069 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2005522301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 210856 + ... + 220161.

It is an arithmetic number, because the mean of its divisors is an integer number (134477616).

Almost surely, 2^2005522101 is an apocalyptic number.

It is an amenable number.

2005522101 is a deficient number, since it is larger than the sum of its proper divisors (1221940683).

2005522101 is a wasteful number, since it uses less digits than its factorization.

2005522101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 431081 (or 431078 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 18.

The square root of 2005522101 is about 44783.0559586994. The cubic root of 2005522101 is about 1261.0795528680.

Adding to 2005522101 its reverse (1012255002), we get a palindrome (3017777103).

The spelling of 2005522101 in words is "two billion, five million, five hundred twenty-two thousand, one hundred one".