100221132 has 48 divisors (see below), whose sum is σ = 261055872. Its totient is φ = 29662080.

The previous prime is 100221131. The next prime is 100221133. The reversal of 100221132 is 231122001.

It is an interprime number because it is at equal distance from previous prime (100221131) and next prime (100221133).

It is a super-2 number, since 2×100221132² = 20088550598722848, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (100221131) 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 15 ways as a sum of consecutive naturals, for example, 3153 + ... + 14504.

It is an arithmetic number, because the mean of its divisors is an integer number (5438664).

Almost surely, 2^100221132 is an apocalyptic number.

100221132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100221132 is an abundant number, since it is smaller than the sum of its proper divisors (160834740).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

100221132 is a wasteful number, since it uses less digits than its factorization.

100221132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17718 (or 17716 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 100221132 is about 10011.0504943288. The cubic root of 100221132 is about 464.5007660883.

Adding to 100221132 its reverse (231122001), we get a palindrome (331343133).

The spelling of 100221132 in words is "one hundred million, two hundred twenty-one thousand, one hundred thirty-two".