10010011005601 has 2 divisors, whose sum is σ = 10010011005602. Its totient is φ = 10010011005600.

The previous prime is 10010011005581. The next prime is 10010011005611. The reversal of 10010011005601 is 10650011001001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8208362520576 + 1801648485025 = 2865024^2 + 1342255^2 .

It is a cyclic number.

It is not a de Polignac number, because 10010011005601 - 2⁵ = 10010011005569 is a prime.

It is not a weakly prime, because it can be changed into another prime (10010011005611) 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, 5005005502800 + 5005005502801.

It is an arithmetic number, because the mean of its divisors is an integer number (5005005502801).

Almost surely, 2^{10010011005601} is an apocalyptic number.

It is an amenable number.

10010011005601 is a deficient number, since it is larger than the sum of its proper divisors (1).

10010011005601 is an equidigital number, since it uses as much as digits as its factorization.

10010011005601 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 30, while the sum is 16.

Adding to 10010011005601 its reverse (10650011001001), we get a palindrome (20660022006602).

The spelling of 10010011005601 in words is "ten trillion, ten billion, eleven million, five thousand, six hundred one".