101118114 has 96 divisors (see below), whose sum is σ = 242573760. Its totient is φ = 30326400.

The previous prime is 101118113. The next prime is 101118137. The reversal of 101118114 is 411811101.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (101118113) 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 47 ways as a sum of consecutive naturals, for example, 771829 + ... + 771959.

It is an arithmetic number, because the mean of its divisors is an integer number (2526810).

Almost surely, 2^101118114 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101118114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121286880).

101118114 is an abundant number, since it is smaller than the sum of its proper divisors (141455646).

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

101118114 is a wasteful number, since it uses less digits than its factorization.

101118114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256 (or 253 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

The square root of 101118114 is about 10055.7502952291. The cubic root of 101118114 is about 465.8824173610.

Adding to 101118114 its reverse (411811101), we get a palindrome (512929215).

It can be divided in two parts, 10111 and 8114, that added together give a square (18225 = 135²).

The spelling of 101118114 in words is "one hundred one million, one hundred eighteen thousand, one hundred fourteen".