101116027 has 8 divisors (see below), whose sum is σ = 106539264. Its totient is φ = 95778408.

The previous prime is 101116021. The next prime is 101116031. The reversal of 101116027 is 720611101.

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 101116027 - 2⁷ = 101115899 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101115995 and 101116013.

It is not an unprimeable number, because it can be changed into a prime (101116021) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18973 + ... + 23710.

It is an arithmetic number, because the mean of its divisors is an integer number (13317408).

Almost surely, 2^101116027 is an apocalyptic number.

101116027 is a deficient number, since it is larger than the sum of its proper divisors (5423237).

101116027 is a wasteful number, since it uses less digits than its factorization.

101116027 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42809.

The product of its (nonzero) digits is 84, while the sum is 19.

The square root of 101116027 is about 10055.6465232227. The cubic root of 101116027 is about 465.8792121875.

Adding to 101116027 its reverse (720611101), we get a palindrome (821727128).

The spelling of 101116027 in words is "one hundred one million, one hundred sixteen thousand, twenty-seven".