101115114 has 16 divisors (see below), whose sum is σ = 203824128. Its totient is φ = 33439392.

The previous prime is 101115109. The next prime is 101115137. The reversal of 101115114 is 411511101.

It is a junction number, because it is equal to n+sod(n) for n = 101115093 and 101115102.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 65587 + ... + 67110.

It is an arithmetic number, because the mean of its divisors is an integer number (12739008).

Almost surely, 2^101115114 is an apocalyptic number.

101115114 is an abundant number, since it is smaller than the sum of its proper divisors (102709014).

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

101115114 is a wasteful number, since it uses less digits than its factorization.

101115114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132829.

The product of its (nonzero) digits is 20, while the sum is 15.

The square root of 101115114 is about 10055.6011257408. The cubic root of 101115114 is about 465.8778100062.

Adding to 101115114 its reverse (411511101), we get a palindrome (512626215).

It can be divided in two parts, 10111 and 5114, that added together give a triangular number (15225 = T₁₇₄).

The spelling of 101115114 in words is "one hundred one million, one hundred fifteen thousand, one hundred fourteen".