100521217 has 16 divisors (see below), whose sum is σ = 105557760. Its totient is φ = 95644800.

The previous prime is 100521173. The next prime is 100521227. The reversal of 100521217 is 712125001.

It is not a de Polignac number, because 100521217 - 2⁷ = 100521089 is a prime.

It is a super-2 number, since 2×100521217² = 20209030134322178, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100521194 and 100521203.

It is not an unprimeable number, because it can be changed into a prime (100521227) 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, 370792 + ... + 371062.

It is an arithmetic number, because the mean of its divisors is an integer number (6597360).

Almost surely, 2^100521217 is an apocalyptic number.

It is an amenable number.

100521217 is a deficient number, since it is larger than the sum of its proper divisors (5036543).

100521217 is a wasteful number, since it uses less digits than its factorization.

100521217 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 504.

The product of its (nonzero) digits is 140, while the sum is 19.

The square root of 100521217 is about 10026.0269798161. The cubic root of 100521217 is about 464.9639113319.

Adding to 100521217 its reverse (712125001), we get a palindrome (812646218).

It can be divided in two parts, 1005 and 21217, that added together give a palindrome (22222).

The spelling of 100521217 in words is "one hundred million, five hundred twenty-one thousand, two hundred seventeen".