100252405201 has 16 divisors (see below), whose sum is σ = 113726491200. Its totient is φ = 87608374848.

The previous prime is 100252405157. The next prime is 100252405207. The reversal of 100252405201 is 102504252001.

It is a cyclic number.

It is not a de Polignac number, because 100252405201 - 2⁷ = 100252405073 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100252405207) 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 15 ways as a sum of consecutive naturals, for example, 210255 + ... + 494683.

It is an arithmetic number, because the mean of its divisors is an integer number (7107905700).

Almost surely, 2^100252405201 is an apocalyptic number.

It is an amenable number.

100252405201 is a deficient number, since it is larger than the sum of its proper divisors (13474085999).

100252405201 is a wasteful number, since it uses less digits than its factorization.

100252405201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285888.

The product of its (nonzero) digits is 800, while the sum is 22.

Adding to 100252405201 its reverse (102504252001), we get a palindrome (202756657202).

The spelling of 100252405201 in words is "one hundred billion, two hundred fifty-two million, four hundred five thousand, two hundred one".