100112331 has 8 divisors (see below), whose sum is σ = 145617984. Its totient is φ = 60674120.

The previous prime is 100112329. The next prime is 100112333. The reversal of 100112331 is 133211001.

It is an interprime number because it is at equal distance from previous prime (100112329) and next prime (100112333).

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

It is a cyclic number.

It is not a de Polignac number, because 100112331 - 2¹ = 100112329 is a prime.

It is a super-2 number, since 2×100112331² = 20044957636507122, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (100112333) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1516821 + ... + 1516886.

It is an arithmetic number, because the mean of its divisors is an integer number (18202248).

Almost surely, 2^100112331 is an apocalyptic number.

100112331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

100112331 is a deficient number, since it is larger than the sum of its proper divisors (45505653).

100112331 is a wasteful number, since it uses less digits than its factorization.

100112331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3033721.

The product of its (nonzero) digits is 18, while the sum is 12.

The square root of 100112331 is about 10005.6149736036. The cubic root of 100112331 is about 464.3326164306.

Adding to 100112331 its reverse (133211001), we get a palindrome (233323332).

The spelling of 100112331 in words is "one hundred million, one hundred twelve thousand, three hundred thirty-one".