10001109969937 has 2 divisors, whose sum is σ = 10001109969938. Its totient is φ = 10001109969936.

The previous prime is 10001109969913. The next prime is 10001109969959. The reversal of 10001109969937 is 73996990110001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9388089872001 + 613020097936 = 3063999^2 + 782956^2 .

It is a cyclic number.

It is not a de Polignac number, because 10001109969937 - 2³⁵ = 9966750231569 is a prime.

It is a super-2 number, since 2×10001109969937² (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (10001109963937) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5000554984968 + 5000554984969.

It is an arithmetic number, because the mean of its divisors is an integer number (5000554984969).

Almost surely, 2^{10001109969937} is an apocalyptic number.

It is an amenable number.

10001109969937 is a deficient number, since it is larger than the sum of its proper divisors (1).

10001109969937 is an equidigital number, since it uses as much as digits as its factorization.

10001109969937 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 826686, while the sum is 55.

The spelling of 10001109969937 in words is "ten trillion, one billion, one hundred nine million, nine hundred sixty-nine thousand, nine hundred thirty-seven".