1010112100009 has 2 divisors, whose sum is σ = 1010112100010. Its totient is φ = 1010112100008.

The previous prime is 1010112099979. The next prime is 1010112100027. The reversal of 1010112100009 is 9000012110101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 788650563600 + 221461536409 = 888060^2 + 470597^2 .

It is an emirp because it is prime and its reverse (9000012110101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1010112100009 - 2¹³ = 1010112091817 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1010112099965 and 1010112100001.

It is not a weakly prime, because it can be changed into another prime (1010112100069) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 505056050004 + 505056050005.

It is an arithmetic number, because the mean of its divisors is an integer number (505056050005).

Almost surely, 2^{1010112100009} is an apocalyptic number.

It is an amenable number.

1010112100009 is a deficient number, since it is larger than the sum of its proper divisors (1).

1010112100009 is an equidigital number, since it uses as much as digits as its factorization.

1010112100009 is an evil number, because the sum of its binary digits is even.

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

The spelling of 1010112100009 in words is "one trillion, ten billion, one hundred twelve million, one hundred thousand, nine".