100414221 has 16 divisors (see below), whose sum is σ = 141181440. Its totient is φ = 63307440.

The previous prime is 100414219. The next prime is 100414241. The reversal of 100414221 is 122414001.

It is not a de Polignac number, because 100414221 - 2¹ = 100414219 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 100414221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100414241) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41166 + ... + 43536.

It is an arithmetic number, because the mean of its divisors is an integer number (8823840).

Almost surely, 2^100414221 is an apocalyptic number.

It is an amenable number.

100414221 is a deficient number, since it is larger than the sum of its proper divisors (40767219).

100414221 is a wasteful number, since it uses less digits than its factorization.

100414221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3136.

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 100414221 is about 10020.6896469255. The cubic root of 100414221 is about 464.7988816933.

Adding to 100414221 its reverse (122414001), we get a palindrome (222828222).

It can be divided in two parts, 1004 and 14221, that added together give a triangular number (15225 = T₁₇₄).

The spelling of 100414221 in words is "one hundred million, four hundred fourteen thousand, two hundred twenty-one".