101014107 has 16 divisors (see below), whose sum is σ = 138903072. Its totient is φ = 65249280.

The previous prime is 101014079. The next prime is 101014117. The reversal of 101014107 is 701410101.

It is not a de Polignac number, because 101014107 - 2¹⁴ = 100997723 is a prime.

It is a super-3 number, since 3×101014107³ (a number of 25 digits) contains 333 as substring.

It is an alternating number because its digits alternate between odd and even.

It is not an unprimeable number, because it can be changed into a prime (101014117) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 26757 + ... + 30297.

It is an arithmetic number, because the mean of its divisors is an integer number (8681442).

Almost surely, 2^101014107 is an apocalyptic number.

101014107 is a deficient number, since it is larger than the sum of its proper divisors (37888965).

101014107 is a wasteful number, since it uses less digits than its factorization.

101014107 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3838.

The product of its (nonzero) digits is 28, while the sum is 15.

The square root of 101014107 is about 10050.5774460973. The cubic root of 101014107 is about 465.7226317621.

Adding to 101014107 its reverse (701410101), we get a palindrome (802424208).

The spelling of 101014107 in words is "one hundred one million, fourteen thousand, one hundred seven".