100301003201 has 24 divisors (see below), whose sum is σ = 119345314536. Its totient is φ = 84023896320.

The previous prime is 100301003197. The next prime is 100301003237. The reversal of 100301003201 is 102300103001.

It can be written as a sum of positive squares in 4 ways, for example, as 5867713201 + 94433290000 = 76601^2 + 307300^2 .

It is not a de Polignac number, because 100301003201 - 2² = 100301003197 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100301003251) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 362405 + ... + 576141.

It is an arithmetic number, because the mean of its divisors is an integer number (4972721439).

Almost surely, 2^100301003201 is an apocalyptic number.

It is an amenable number.

100301003201 is a deficient number, since it is larger than the sum of its proper divisors (19044311335).

100301003201 is a wasteful number, since it uses less digits than its factorization.

100301003201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213969 (or 213962 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 11.

Adding to 100301003201 its reverse (102300103001), we get a palindrome (202601106202).

The spelling of 100301003201 in words is "one hundred billion, three hundred one million, three thousand, two hundred one".