101022102100009 has 2 divisors, whose sum is σ = 101022102100010. Its totient is φ = 101022102100008.

The previous prime is 101022102099979. The next prime is 101022102100013. The reversal of 101022102100009 is 900001201220101.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 90186418202409 + 10835683897600 = 9496653^2 + 3291760^2 .

It is a cyclic number.

It is not a de Polignac number, because 101022102100009 - 2⁹ = 101022102099497 is a prime.

It is a super-2 number, since 2×101022102100009² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (101022102100039) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50511051050004 + 50511051050005.

It is an arithmetic number, because the mean of its divisors is an integer number (50511051050005).

Almost surely, 2^{101022102100009} is an apocalyptic number.

It is an amenable number.

101022102100009 is a deficient number, since it is larger than the sum of its proper divisors (1).

101022102100009 is an equidigital number, since it uses as much as digits as its factorization.

101022102100009 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72, while the sum is 19.

The spelling of 101022102100009 in words is "one hundred one trillion, twenty-two billion, one hundred two million, one hundred thousand, nine".