101116512 has 120 divisors (see below), whose sum is σ = 339924816. Its totient is φ = 28885248.

The previous prime is 101116507. The next prime is 101116517. The reversal of 101116512 is 215611101.

It is a happy number.

101116512 is a `hidden beast` number, since 1 + 0 + 1 + 11 + 651 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (101116507) and next prime (101116517).

It is a super-2 number, since 2×101116512² = 20449097998092288, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101116517) 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 19 ways as a sum of consecutive naturals, for example, 15358 + ... + 20930.

Almost surely, 2^101116512 is an apocalyptic number.

101116512 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101116512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169962408).

101116512 is an abundant number, since it is smaller than the sum of its proper divisors (238808304).

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

101116512 is an equidigital number, since it uses as much as digits as its factorization.

101116512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5602 (or 5585 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 18.

The square root of 101116512 is about 10055.6706389977. The cubic root of 101116512 is about 465.8799570449.

Adding to 101116512 its reverse (215611101), we get a palindrome (316727613).

The spelling of 101116512 in words is "one hundred one million, one hundred sixteen thousand, five hundred twelve".