100001210002097 has 2 divisors, whose sum is σ = 100001210002098. Its totient is φ = 100001210002096.

The previous prime is 100001210002079. The next prime is 100001210002117. The reversal of 100001210002097 is 790200012100001.

Together with previous prime (100001210002079) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 81764202030736 + 18237007971361 = 9042356^2 + 4270481^2 .

It is an emirp because it is prime and its reverse (790200012100001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 100001210002097 - 2¹⁸ = 100001209739953 is a prime.

It is not a weakly prime, because it can be changed into another prime (100001210022097) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50000605001048 + 50000605001049.

It is an arithmetic number, because the mean of its divisors is an integer number (50000605001049).

Almost surely, 2^{100001210002097} is an apocalyptic number.

It is an amenable number.

100001210002097 is a deficient number, since it is larger than the sum of its proper divisors (1).

100001210002097 is an equidigital number, since it uses as much as digits as its factorization.

100001210002097 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 252, while the sum is 23.

Adding to 100001210002097 its reverse (790200012100001), we get a palindrome (890201222102098).

The spelling of 100001210002097 in words is "one hundred trillion, one billion, two hundred ten million, two thousand, ninety-seven".