101100114 has 24 divisors (see below), whose sum is σ = 226117632. Its totient is φ = 32612760.

The previous prime is 101100113. The next prime is 101100133. The reversal of 101100114 is 411001101.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 101100096 and 101100105.

It is not an unprimeable number, because it can be changed into a prime (101100113) 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 11 ways as a sum of consecutive naturals, for example, 90034 + ... + 91149.

It is an arithmetic number, because the mean of its divisors is an integer number (9421568).

Almost surely, 2^101100114 is an apocalyptic number.

101100114 is an abundant number, since it is smaller than the sum of its proper divisors (125017518).

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

101100114 is a wasteful number, since it uses less digits than its factorization.

101100114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181222 (or 181219 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

The square root of 101100114 is about 10054.8552451042. The cubic root of 101100114 is about 465.8547718653.

Adding to 101100114 its reverse (411001101), we get a palindrome (512101215).

The spelling of 101100114 in words is "one hundred one million, one hundred thousand, one hundred fourteen".