100131201 has 32 divisors (see below), whose sum is σ = 152064000. Its totient is φ = 65099664.

The previous prime is 100131193. The next prime is 100131211. The reversal of 100131201 is 102131001.

It is not a de Polignac number, because 100131201 - 2³ = 100131193 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (100131211) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 380596 + ... + 380858.

It is an arithmetic number, because the mean of its divisors is an integer number (4752000).

Almost surely, 2^100131201 is an apocalyptic number.

It is an amenable number.

100131201 is a deficient number, since it is larger than the sum of its proper divisors (51932799).

100131201 is a wasteful number, since it uses less digits than its factorization.

100131201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 570 (or 564 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

The square root of 100131201 is about 10006.5578996976. The cubic root of 100131201 is about 464.3617883482.

Adding to 100131201 its reverse (102131001), we get a palindrome (202262202).

The spelling of 100131201 in words is "one hundred million, one hundred thirty-one thousand, two hundred one".