16779822009101 has 2 divisors, whose sum is σ = 16779822009102. Its totient is φ = 16779822009100.

The previous prime is 16779822009043. The next prime is 16779822009107. The reversal of 16779822009101 is 10190022897761.

16779822009101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 11774986360900 + 5004835648201 = 3431470^2 + 2237149^2 .

It is a cyclic number.

It is not a de Polignac number, because 16779822009101 - 2²² = 16779817814797 is a prime.

It is a super-2 number, since 2×16779822009101² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (16779822009107) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 8389911004550 + 8389911004551.

It is an arithmetic number, because the mean of its divisors is an integer number (8389911004551).

Almost surely, 2^{16779822009101} is an apocalyptic number.

It is an amenable number.

16779822009101 is a deficient number, since it is larger than the sum of its proper divisors (1).

16779822009101 is an equidigital number, since it uses as much as digits as its factorization.

16779822009101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 762048, while the sum is 53.

The spelling of 16779822009101 in words is "sixteen trillion, seven hundred seventy-nine billion, eight hundred twenty-two million, nine thousand, one hundred one".