997100101001 has 2 divisors, whose sum is σ = 997100101002. Its totient is φ = 997100101000.

The previous prime is 997100100991. The next prime is 997100101013. The reversal of 997100101001 is 100101001799.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 883900825600 + 113199275401 = 940160^2 + 336451^2 .

It is an emirp because it is prime and its reverse (100101001799) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 997100101001 - 2¹⁸ = 997099838857 is a prime.

It is a super-2 number, since 2×997100101001² (a number of 25 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (997100101201) 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, 498550050500 + 498550050501.

It is an arithmetic number, because the mean of its divisors is an integer number (498550050501).

Almost surely, 2^997100101001 is an apocalyptic number.

It is an amenable number.

997100101001 is a deficient number, since it is larger than the sum of its proper divisors (1).

997100101001 is an equidigital number, since it uses as much as digits as its factorization.

997100101001 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.

The spelling of 997100101001 in words is "nine hundred ninety-seven billion, one hundred million, one hundred one thousand, one".