10113120101009 has 2 divisors, whose sum is σ = 10113120101010. Its totient is φ = 10113120101008.

The previous prime is 10113120101003. The next prime is 10113120101027. The reversal of 10113120101009 is 90010102131101.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 5660901940225 + 4452218160784 = 2379265^2 + 2110028^2 .

It is a cyclic number.

It is not a de Polignac number, because 10113120101009 - 2²⁰ = 10113119052433 is a prime.

It is not a weakly prime, because it can be changed into another prime (10113120101003) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5056560050504 + 5056560050505.

It is an arithmetic number, because the mean of its divisors is an integer number (5056560050505).

Almost surely, 2^{10113120101009} is an apocalyptic number.

It is an amenable number.

10113120101009 is a deficient number, since it is larger than the sum of its proper divisors (1).

10113120101009 is an equidigital number, since it uses as much as digits as its factorization.

10113120101009 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 54, while the sum is 20.

The spelling of 10113120101009 in words is "ten trillion, one hundred thirteen billion, one hundred twenty million, one hundred one thousand, nine".