1010100211009 has 2 divisors, whose sum is σ = 1010100211010. Its totient is φ = 1010100211008.

The previous prime is 1010100210967. The next prime is 1010100211013. The reversal of 1010100211009 is 9001120010101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 787407769600 + 222692441409 = 887360^2 + 471903^2 .

It is a cyclic number.

It is not a de Polignac number, because 1010100211009 - 2⁷ = 1010100210881 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1010100210983 and 1010100211001.

It is not a weakly prime, because it can be changed into another prime (1010100211909) 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, 505050105504 + 505050105505.

It is an arithmetic number, because the mean of its divisors is an integer number (505050105505).

Almost surely, 2^{1010100211009} is an apocalyptic number.

It is an amenable number.

1010100211009 is a deficient number, since it is larger than the sum of its proper divisors (1).

1010100211009 is an equidigital number, since it uses as much as digits as its factorization.

1010100211009 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 18, while the sum is 16.

The spelling of 1010100211009 in words is "one trillion, ten billion, one hundred million, two hundred eleven thousand, nine".