10001012122097 has 2 divisors, whose sum is σ = 10001012122098. Its totient is φ = 10001012122096.

The previous prime is 10001012122093. The next prime is 10001012122111. The reversal of 10001012122097 is 79022121010001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9445486369201 + 555525752896 = 3073351^2 + 745336^2 .

It is a cyclic number.

It is not a de Polignac number, because 10001012122097 - 2² = 10001012122093 is a prime.

It is a super-2 number, since 2×10001012122097² (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (10001012122093) 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, 5000506061048 + 5000506061049.

It is an arithmetic number, because the mean of its divisors is an integer number (5000506061049).

Almost surely, 2^{10001012122097} is an apocalyptic number.

It is an amenable number.

10001012122097 is a deficient number, since it is larger than the sum of its proper divisors (1).

10001012122097 is an equidigital number, since it uses as much as digits as its factorization.

10001012122097 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 504, while the sum is 26.

Adding to 10001012122097 its reverse (79022121010001), we get a palindrome (89023133132098).

The spelling of 10001012122097 in words is "ten trillion, one billion, twelve million, one hundred twenty-two thousand, ninety-seven".