10000010001997 has 2 divisors, whose sum is σ = 10000010001998. Its totient is φ = 10000010001996.

The previous prime is 10000010001983. The next prime is 10000010002027. The reversal of 10000010001997 is 79910001000001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9776759421961 + 223250580036 = 3126781^2 + 472494^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10000010001997 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10000010091997) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5000005000998 + 5000005000999.

It is an arithmetic number, because the mean of its divisors is an integer number (5000005000999).

Almost surely, 2^{10000010001997} is an apocalyptic number.

It is an amenable number.

10000010001997 is a deficient number, since it is larger than the sum of its proper divisors (1).

10000010001997 is an equidigital number, since it uses as much as digits as its factorization.

10000010001997 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 28.

Adding to 10000010001997 its reverse (79910001000001), we get a palindrome (89910011001998).

The spelling of 10000010001997 in words is "ten trillion, ten million, one thousand, nine hundred ninety-seven".