100301223201 has 32 divisors (see below), whose sum is σ = 147243951360. Its totient is φ = 60448948224.

The previous prime is 100301223179. The next prime is 100301223251. The reversal of 100301223201 is 102322103001.

It is not a de Polignac number, because 100301223201 - 2¹⁹ = 100300698913 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100301223251) 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 31 ways as a sum of consecutive naturals, for example, 109756 + ... + 461138.

It is an arithmetic number, because the mean of its divisors is an integer number (4601373480).

Almost surely, 2^100301223201 is an apocalyptic number.

It is an amenable number.

100301223201 is a deficient number, since it is larger than the sum of its proper divisors (46942728159).

100301223201 is a wasteful number, since it uses less digits than its factorization.

100301223201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 351625.

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 100301223201 its reverse (102322103001), we get a palindrome (202623326202).

The spelling of 100301223201 in words is "one hundred billion, three hundred one million, two hundred twenty-three thousand, two hundred one".