1020020100109 has 2 divisors, whose sum is σ = 1020020100110. Its totient is φ = 1020020100108.

The previous prime is 1020020100083. The next prime is 1020020100131. The reversal of 1020020100109 is 9010010200201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 997991010025 + 22029090084 = 998995^2 + 148422^2 .

It is a cyclic number.

It is not a de Polignac number, because 1020020100109 - 2¹⁷ = 1020019969037 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1020020100092 and 1020020100101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1020020100149) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 510010050054 + 510010050055.

It is an arithmetic number, because the mean of its divisors is an integer number (510010050055).

Almost surely, 2^{1020020100109} is an apocalyptic number.

It is an amenable number.

1020020100109 is a deficient number, since it is larger than the sum of its proper divisors (1).

1020020100109 is an equidigital number, since it uses as much as digits as its factorization.

1020020100109 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 36, while the sum is 16.

The spelling of 1020020100109 in words is "one trillion, twenty billion, twenty million, one hundred thousand, one hundred nine".