2005200101 has 4 divisors (see below), whose sum is σ = 2020507104. Its totient is φ = 1989893100.

The previous prime is 2005200077. The next prime is 2005200143. The reversal of 2005200101 is 1010025002.

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 2005200101 - 2¹⁴ = 2005183717 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 (2005200401) 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, 7653305 + ... + 7653566.

It is an arithmetic number, because the mean of its divisors is an integer number (505126776).

Almost surely, 2^2005200101 is an apocalyptic number.

It is an amenable number.

2005200101 is a deficient number, since it is larger than the sum of its proper divisors (15307003).

2005200101 is a wasteful number, since it uses less digits than its factorization.

2005200101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15307002.

The product of its (nonzero) digits is 20, while the sum is 11.

The square root of 2005200101 is about 44779.4607046579. The cubic root of 2005200101 is about 1261.0120576673.

Adding to 2005200101 its reverse (1010025002), we get a palindrome (3015225103).

The spelling of 2005200101 in words is "two billion, five million, two hundred thousand, one hundred one".