101122133009 has 2 divisors, whose sum is σ = 101122133010. Its totient is φ = 101122133008.

The previous prime is 101122133003. The next prime is 101122133023. The reversal of 101122133009 is 900331221101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 80928870400 + 20193262609 = 284480^2 + 142103^2 .

It is a cyclic number.

It is not a de Polignac number, because 101122133009 - 2⁸ = 101122132753 is a prime.

It is not a weakly prime, because it can be changed into another prime (101122133003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50561066504 + 50561066505.

It is an arithmetic number, because the mean of its divisors is an integer number (50561066505).

Almost surely, 2^101122133009 is an apocalyptic number.

It is an amenable number.

101122133009 is a deficient number, since it is larger than the sum of its proper divisors (1).

101122133009 is an equidigital number, since it uses as much as digits as its factorization.

101122133009 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 101122133009 in words is "one hundred one billion, one hundred twenty-two million, one hundred thirty-three thousand, nine".