10010880001 has 2 divisors, whose sum is σ = 10010880002. Its totient is φ = 10010880000.

The previous prime is 10010879987. The next prime is 10010880013. The reversal of 10010880001 is 10008801001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9840838401 + 170041600 = 99201^2 + 13040^2 .

It is a cyclic number.

It is not a de Polignac number, because 10010880001 - 2⁵ = 10010879969 is a prime.

It is not a weakly prime, because it can be changed into another prime (10010886001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5005440000 + 5005440001.

It is an arithmetic number, because the mean of its divisors is an integer number (5005440001).

Almost surely, 2^10010880001 is an apocalyptic number.

It is an amenable number.

10010880001 is a deficient number, since it is larger than the sum of its proper divisors (1).

10010880001 is an equidigital number, since it uses as much as digits as its factorization.

10010880001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 64, while the sum is 19.

The spelling of 10010880001 in words is "ten billion, ten million, eight hundred eighty thousand, one".