100221251 has 8 divisors (see below), whose sum is σ = 109967760. Its totient is φ = 90765792.

The previous prime is 100221227. The next prime is 100221259. The reversal of 100221251 is 152122001.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 100221251 - 2¹⁰ = 100220227 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100221259) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 72041 + ... + 73418.

It is an arithmetic number, because the mean of its divisors is an integer number (13745970).

Almost surely, 2^100221251 is an apocalyptic number.

100221251 is a deficient number, since it is larger than the sum of its proper divisors (9746509).

100221251 is a wasteful number, since it uses less digits than its factorization.

100221251 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145525.

The product of its (nonzero) digits is 40, while the sum is 14.

The square root of 100221251 is about 10011.0564377592. The cubic root of 100221251 is about 464.5009499336.

Adding to 100221251 its reverse (152122001), we get a palindrome (252343252).

The spelling of 100221251 in words is "one hundred million, two hundred twenty-one thousand, two hundred fifty-one".