100224042132 has 24 divisors (see below), whose sum is σ = 237059608576. Its totient is φ = 32950369728.

The previous prime is 100224042131. The next prime is 100224042133. The reversal of 100224042132 is 231240422001.

It is an interprime number because it is at equal distance from previous prime (100224042131) and next prime (100224042133).

It is a super-2 number, since 2×100224042132² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100224042099 and 100224042108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100224042131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 57204628 + ... + 57206379.

Almost surely, 2^100224042132 is an apocalyptic number.

100224042132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100224042132 is an abundant number, since it is smaller than the sum of its proper divisors (136835566444).

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

100224042132 is a wasteful number, since it uses less digits than its factorization.

100224042132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114411087 (or 114411085 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 100224042132 its reverse (231240422001), we get a palindrome (331464464133).

The spelling of 100224042132 in words is "one hundred billion, two hundred twenty-four million, forty-two thousand, one hundred thirty-two".