10101100001009 has 2 divisors, whose sum is σ = 10101100001010. Its totient is φ = 10101100001008.

The previous prime is 10101100000933. The next prime is 10101100001033. The reversal of 10101100001009 is 90010000110101.

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., 6469407511009 + 3631692490000 = 2543503^2 + 1905700^2 .

It is a cyclic number.

It is not a de Polignac number, because 10101100001009 - 2⁸ = 10101100000753 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10101100000984 and 10101100001002.

It is not a weakly prime, because it can be changed into another prime (10101100003009) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5050550000504 + 5050550000505.

It is an arithmetic number, because the mean of its divisors is an integer number (5050550000505).

Almost surely, 2^{10101100001009} is an apocalyptic number.

It is an amenable number.

10101100001009 is a deficient number, since it is larger than the sum of its proper divisors (1).

10101100001009 is an equidigital number, since it uses as much as digits as its factorization.

10101100001009 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 9, while the sum is 14.

The spelling of 10101100001009 in words is "ten trillion, one hundred one billion, one hundred million, one thousand, nine".