101101022009909 has 2 divisors, whose sum is σ = 101101022009910. Its totient is φ = 101101022009908.

The previous prime is 101101022009881. The next prime is 101101022009927. The reversal of 101101022009909 is 909900220101101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 70903557180625 + 30197464829284 = 8420425^2 + 5495222^2 .

It is a cyclic number.

It is not a de Polignac number, because 101101022009909 - 2²⁴ = 101101005232693 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101101022009929) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50550511004954 + 50550511004955.

It is an arithmetic number, because the mean of its divisors is an integer number (50550511004955).

Almost surely, 2^{101101022009909} is an apocalyptic number.

It is an amenable number.

101101022009909 is a deficient number, since it is larger than the sum of its proper divisors (1).

101101022009909 is an equidigital number, since it uses as much as digits as its factorization.

101101022009909 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2916, while the sum is 35.

The spelling of 101101022009909 in words is "one hundred one trillion, one hundred one billion, twenty-two million, nine thousand, nine hundred nine".