10010101000997 has 2 divisors, whose sum is σ = 10010101000998. Its totient is φ = 10010101000996.

The previous prime is 10010101000909. The next prime is 10010101001003. The reversal of 10010101000997 is 79900010101001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8452474694596 + 1557626306401 = 2907314^2 + 1248049^2 .

It is a cyclic number.

It is not a de Polignac number, because 10010101000997 - 2¹⁴ = 10010100984613 is a prime.

It is a super-2 number, since 2×10010101000997² (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 (10010101008997) 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, 5005050500498 + 5005050500499.

It is an arithmetic number, because the mean of its divisors is an integer number (5005050500499).

Almost surely, 2^{10010101000997} is an apocalyptic number.

It is an amenable number.

10010101000997 is a deficient number, since it is larger than the sum of its proper divisors (1).

10010101000997 is an equidigital number, since it uses as much as digits as its factorization.

10010101000997 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 567, while the sum is 29.

Adding to 10010101000997 its reverse (79900010101001), we get a palindrome (89910111101998).

The spelling of 10010101000997 in words is "ten trillion, ten billion, one hundred one million, nine hundred ninety-seven", and thus it is an aban number.