101112330 has 64 divisors (see below), whose sum is σ = 265794048. Its totient is φ = 24413760.

The previous prime is 101112329. The next prime is 101112331. The reversal of 101112330 is 33211101.

It is an interprime number because it is at equal distance from previous prime (101112329) and next prime (101112331).

It is not an unprimeable number, because it can be changed into a prime (101112331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 114069 + ... + 114951.

It is an arithmetic number, because the mean of its divisors is an integer number (4153032).

Almost surely, 2^101112330 is an apocalyptic number.

101112330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 101112330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132897024).

101112330 is an abundant number, since it is smaller than the sum of its proper divisors (164681718).

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

101112330 is a wasteful number, since it uses less digits than its factorization.

101112330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1251.

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

The square root of 101112330 is about 10055.4626944761. The cubic root of 101112330 is about 465.8735342995.

Adding to 101112330 its reverse (33211101), we get a palindrome (134323431).

The spelling of 101112330 in words is "one hundred one million, one hundred twelve thousand, three hundred thirty".