101122309 has 2 divisors, whose sum is σ = 101122310. Its totient is φ = 101122308.

The previous prime is 101122289. The next prime is 101122349. The reversal of 101122309 is 903221101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 55086084 + 46036225 = 7422^2 + 6785^2 .

It is a cyclic number.

It is not a de Polignac number, because 101122309 - 2⁷ = 101122181 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101122349) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50561154 + 50561155.

It is an arithmetic number, because the mean of its divisors is an integer number (50561155).

Almost surely, 2^101122309 is an apocalyptic number.

It is an amenable number.

101122309 is a deficient number, since it is larger than the sum of its proper divisors (1).

101122309 is an equidigital number, since it uses as much as digits as its factorization.

101122309 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 108, while the sum is 19.

The square root of 101122309 is about 10055.9588801864. The cubic root of 101122309 is about 465.8888598259. Note that the first 4 decimals are identical.

It can be divided in two parts, 10112 and 2309, that added together give a palindrome (12421).

The spelling of 101122309 in words is "one hundred one million, one hundred twenty-two thousand, three hundred nine".