100001000110097 has 2 divisors, whose sum is σ = 100001000110098. Its totient is φ = 100001000110096.

The previous prime is 100001000110073. The next prime is 100001000110117. The reversal of 100001000110097 is 790011000100001.

It is an a-pointer prime, because the next prime (100001000110117) can be obtained adding 100001000110097 to its sum of digits (20).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 92205490412161 + 7795509697936 = 9602369^2 + 2792044^2 .

It is a cyclic number.

It is not a de Polignac number, because 100001000110097 - 2²⁰ = 100000999061521 is a prime.

It is a super-2 number, since 2×100001000110097² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (100001000110057) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50000500055048 + 50000500055049.

It is an arithmetic number, because the mean of its divisors is an integer number (50000500055049).

Almost surely, 2^{100001000110097} is an apocalyptic number.

It is an amenable number.

100001000110097 is a deficient number, since it is larger than the sum of its proper divisors (1).

100001000110097 is an equidigital number, since it uses as much as digits as its factorization.

100001000110097 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 63, while the sum is 20.

Adding to 100001000110097 its reverse (790011000100001), we get a palindrome (890012000210098).

The spelling of 100001000110097 in words is "one hundred trillion, one billion, one hundred ten thousand, ninety-seven".