100224201 has 32 divisors (see below), whose sum is σ = 167325696. Its totient is φ = 51840000.

The previous prime is 100224193. The next prime is 100224211. The reversal of 100224201 is 102422001.

It is not a de Polignac number, because 100224201 - 2³ = 100224193 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100224211) 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, 61801 + ... + 63401.

It is an arithmetic number, because the mean of its divisors is an integer number (5228928).

Almost surely, 2^100224201 is an apocalyptic number.

100224201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100224201 is a deficient number, since it is larger than the sum of its proper divisors (67101495).

100224201 is a wasteful number, since it uses less digits than its factorization.

100224201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1893.

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 100224201 is about 10011.2037737727. The cubic root of 100224201 is about 464.5055073980.

Adding to 100224201 its reverse (102422001), we get a palindrome (202646202).

The spelling of 100224201 in words is "one hundred million, two hundred twenty-four thousand, two hundred one".