101122301309 has 2 divisors, whose sum is σ = 101122301310. Its totient is φ = 101122301308.

The previous prime is 101122301299. The next prime is 101122301317. The reversal of 101122301309 is 903103221101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 90208320409 + 10913980900 = 300347^2 + 104470^2 .

It is a cyclic number.

It is not a de Polignac number, because 101122301309 - 2²⁰ = 101121252733 is a prime.

It is a super-2 number, since 2×101122301309² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101122301209) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50561150654 + 50561150655.

It is an arithmetic number, because the mean of its divisors is an integer number (50561150655).

Almost surely, 2^101122301309 is an apocalyptic number.

It is an amenable number.

101122301309 is a deficient number, since it is larger than the sum of its proper divisors (1).

101122301309 is an equidigital number, since it uses as much as digits as its factorization.

101122301309 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 324, while the sum is 23.

The spelling of 101122301309 in words is "one hundred one billion, one hundred twenty-two million, three hundred one thousand, three hundred nine".