10100110010009 has 2 divisors, whose sum is σ = 10100110010010. Its totient is φ = 10100110010008.

The previous prime is 10100110009991. The next prime is 10100110010027. The reversal of 10100110010009 is 90001001100101.

It is a happy number.

It is a balanced prime because it is at equal distance from previous prime (10100110009991) and next prime (10100110010027).

It can be written as a sum of positive squares in only one way, i.e., 10006011379984 + 94098630025 = 3163228^2 + 306755^2 .

It is a cyclic number.

It is not a de Polignac number, because 10100110010009 - 2³⁶ = 10031390533273 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10100110009975 and 10100110010002.

It is not a weakly prime, because it can be changed into another prime (10100110010069) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5050055005004 + 5050055005005.

It is an arithmetic number, because the mean of its divisors is an integer number (5050055005005).

Almost surely, 2^{10100110010009} is an apocalyptic number.

It is an amenable number.

10100110010009 is a deficient number, since it is larger than the sum of its proper divisors (1).

10100110010009 is an equidigital number, since it uses as much as digits as its factorization.

10100110010009 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 10100110010009 in words is "ten trillion, one hundred billion, one hundred ten million, ten thousand, nine".