101016107 has 2 divisors, whose sum is σ = 101016108. Its totient is φ = 101016106.

The previous prime is 101016089. The next prime is 101016109. The reversal of 101016107 is 701610101.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 101016107 - 2⁸ = 101015851 is a prime.

Together with 101016109, it forms a pair of twin primes.

It is a Chen prime.

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

It is not a weakly prime, because it can be changed into another prime (101016109) 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 as a sum of consecutive naturals, namely, 50508053 + 50508054.

It is an arithmetic number, because the mean of its divisors is an integer number (50508054).

Almost surely, 2^101016107 is an apocalyptic number.

101016107 is a deficient number, since it is larger than the sum of its proper divisors (1).

101016107 is an equidigital number, since it uses as much as digits as its factorization.

101016107 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 42, while the sum is 17.

The square root of 101016107 is about 10050.6769423756. The cubic root of 101016107 is about 465.7257053893.

Adding to 101016107 its reverse (701610101), we get a palindrome (802626208).

The spelling of 101016107 in words is "one hundred one million, sixteen thousand, one hundred seven".