101112161 has 2 divisors, whose sum is σ = 101112162. Its totient is φ = 101112160.

The previous prime is 101112139. The next prime is 101112199. The reversal of 101112161 is 161211101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 71081761 + 30030400 = 8431^2 + 5480^2 .

It is an emirp because it is prime and its reverse (161211101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 101112161 - 2⁶ = 101112097 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (101112461) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50556080 + 50556081.

It is an arithmetic number, because the mean of its divisors is an integer number (50556081).

Almost surely, 2^101112161 is an apocalyptic number.

It is an amenable number.

101112161 is a deficient number, since it is larger than the sum of its proper divisors (1).

101112161 is an equidigital number, since it uses as much as digits as its factorization.

101112161 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 12, while the sum is 14.

The square root of 101112161 is about 10055.4542910800. The cubic root of 101112161 is about 465.8732747443.

Adding to 101112161 its reverse (161211101), we get a palindrome (262323262).

The spelling of 101112161 in words is "one hundred one million, one hundred twelve thousand, one hundred sixty-one".