101122117 has 2 divisors, whose sum is σ = 101122118. Its totient is φ = 101122116.

The previous prime is 101122081. The next prime is 101122121. The reversal of 101122117 is 711221101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 76580001 + 24542116 = 8751^2 + 4954^2 .

It is a cyclic number.

It is not a de Polignac number, because 101122117 - 2¹¹ = 101120069 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 101122117.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101122187) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50561058 + 50561059.

It is an arithmetic number, because the mean of its divisors is an integer number (50561059).

Almost surely, 2^101122117 is an apocalyptic number.

It is an amenable number.

101122117 is a deficient number, since it is larger than the sum of its proper divisors (1).

101122117 is an equidigital number, since it uses as much as digits as its factorization.

101122117 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 28, while the sum is 16.

The square root of 101122117 is about 10055.9493336035. The cubic root of 101122117 is about 465.8885649661. Note that the first 3 decimals are identical.

Adding to 101122117 its reverse (711221101), we get a palindrome (812343218).

The spelling of 101122117 in words is "one hundred one million, one hundred twenty-two thousand, one hundred seventeen".