101114161 has 2 divisors, whose sum is σ = 101114162. Its totient is φ = 101114160.

The previous prime is 101114093. The next prime is 101114171. The reversal of 101114161 is 161411101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 57289761 + 43824400 = 7569^2 + 6620^2 .

It is an emirp because it is prime and its reverse (161411101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 101114161 - 2²³ = 92725553 is a prime.

It is not a weakly prime, because it can be changed into another prime (101114171) 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, 50557080 + 50557081.

It is an arithmetic number, because the mean of its divisors is an integer number (50557081).

Almost surely, 2^101114161 is an apocalyptic number.

It is an amenable number.

101114161 is a deficient number, since it is larger than the sum of its proper divisors (1).

101114161 is an equidigital number, since it uses as much as digits as its factorization.

101114161 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 24, while the sum is 16.

The square root of 101114161 is about 10055.5537391036. The cubic root of 101114161 is about 465.8763463841.

Adding to 101114161 its reverse (161411101), we get a palindrome (262525262).

The spelling of 101114161 in words is "one hundred one million, one hundred fourteen thousand, one hundred sixty-one".