10000001009981 has 2 divisors, whose sum is σ = 10000001009982. Its totient is φ = 10000001009980.

The previous prime is 10000001009923. The next prime is 10000001010011. The reversal of 10000001009981 is 18990010000001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7259764416025 + 2740236593956 = 2694395^2 + 1655366^2 .

It is a cyclic number.

It is not a de Polignac number, because 10000001009981 - 2²⁶ = 9999933901117 is a prime.

It is a super-2 number, since 2×10000001009981² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10000001009681) 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, 5000000504990 + 5000000504991.

It is an arithmetic number, because the mean of its divisors is an integer number (5000000504991).

Almost surely, 2^{10000001009981} is an apocalyptic number.

It is an amenable number.

10000001009981 is a deficient number, since it is larger than the sum of its proper divisors (1).

10000001009981 is an equidigital number, since it uses as much as digits as its factorization.

10000001009981 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 648, while the sum is 29.

Adding to 10000001009981 its reverse (18990010000001), we get a palindrome (28990011009982).

The spelling of 10000001009981 in words is "ten trillion, one million, nine thousand, nine hundred eighty-one".