101121161 has 2 divisors, whose sum is σ = 101121162. Its totient is φ = 101121160.

The previous prime is 101121149. The next prime is 101121203. The reversal of 101121161 is 161121101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 98624761 + 2496400 = 9931^2 + 1580^2 .

It is an emirp because it is prime and its reverse (161121101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 101121161 - 2¹⁴ = 101104777 is a prime.

It is not a weakly prime, because it can be changed into another prime (101121131) 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 as a sum of consecutive naturals, namely, 50560580 + 50560581.

It is an arithmetic number, because the mean of its divisors is an integer number (50560581).

Almost surely, 2^101121161 is an apocalyptic number.

It is an amenable number.

101121161 is a deficient number, since it is larger than the sum of its proper divisors (1).

101121161 is an equidigital number, since it uses as much as digits as its factorization.

101121161 is an odious number, because the sum of its binary digits is odd.

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

The square root of 101121161 is about 10055.9017994410. The cubic root of 101121161 is about 465.8870968044.

Adding to 101121161 its reverse (161121101), we get a palindrome (262242262).

The spelling of 101121161 in words is "one hundred one million, one hundred twenty-one thousand, one hundred sixty-one".