10010200997 has 2 divisors, whose sum is σ = 10010200998. Its totient is φ = 10010200996.

The previous prime is 10010200961. The next prime is 10010200999. The reversal of 10010200997 is 79900201001.

10010200997 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9698113441 + 312087556 = 98479^2 + 17666^2 .

It is a cyclic number.

It is not a de Polignac number, because 10010200997 - 2¹⁶ = 10010135461 is a prime.

Together with 10010200999, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10010200999) 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, 5005100498 + 5005100499.

It is an arithmetic number, because the mean of its divisors is an integer number (5005100499).

Almost surely, 2^10010200997 is an apocalyptic number.

It is an amenable number.

10010200997 is a deficient number, since it is larger than the sum of its proper divisors (1).

10010200997 is an equidigital number, since it uses as much as digits as its factorization.

10010200997 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1134, while the sum is 29.

Adding to 10010200997 its reverse (79900201001), we get a palindrome (89910401998).

The spelling of 10010200997 in words is "ten billion, ten million, two hundred thousand, nine hundred ninety-seven".