101122181 has 2 divisors, whose sum is σ = 101122182. Its totient is φ = 101122180.

The previous prime is 101122163. The next prime is 101122183. The reversal of 101122181 is 181221101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 65529025 + 35593156 = 8095^2 + 5966^2 .

It is a cyclic number.

It is not a de Polignac number, because 101122181 - 2⁶ = 101122117 is a prime.

It is a super-2 number, since 2×101122181² = 20451390980393522, which contains 22 as substring.

It is a Sophie Germain prime.

Together with 101122183, it forms a pair of twin primes.

It is a Chen prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101122183) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50561090 + 50561091.

It is an arithmetic number, because the mean of its divisors is an integer number (50561091).

Almost surely, 2^101122181 is an apocalyptic number.

It is an amenable number.

101122181 is a deficient number, since it is larger than the sum of its proper divisors (1).

101122181 is an equidigital number, since it uses as much as digits as its factorization.

101122181 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 32, while the sum is 17.

The square root of 101122181 is about 10055.9525157988. The cubic root of 101122181 is about 465.8886632528. Note that the first 3 decimals are identical.

Adding to 101122181 its reverse (181221101), we get a palindrome (282343282).

The spelling of 101122181 in words is "one hundred one million, one hundred twenty-two thousand, one hundred eighty-one".